Jaume Llibre

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Jaume Llibre is affiliated with the following schools: Autonomous University of Barcelona, University of Barcelona

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Mathematics

Jaume Llibre's Degrees

Bachelors Mathematics University of Barcelona
Masters Mathematics University of Barcelona
PhD Mathematics University of Barcelona

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Jaume Llibre's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Qualitative Theory of Planar Differential Systems (2006) (783)
Combinatorial Dynamics and Entropy in Dimension One (2000) (514)
Averaging methods for finding periodic orbits via Brouwer degree (2004) (297)
Multiplicity of invariant algebraic curves in polynomial vector fields (2007) (213)
On the nonexistence, existence and uniqueness of limit cycles (1996) (163)
Periodic solutions of nonlinear periodic differential systems with a small parameter (2006) (146)
Tranversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near L2 in the restricted three-body problem (1985) (139)
On the Integrability of Two-Dimensional Flows (1999) (130)
Dynamics and Mission Design Near Libration Points: Volume II: Fundamentals: The Case of Triangular Libration Points (2001) (129)
Limit cycles for a class of Abel equations (1990) (129)
THREE NESTED LIMIT CYCLES IN DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO ZONES (2012) (128)
On the optimal station keeping control of halo orbits (1986) (126)
Darboux theory of integrability in Cn taking into account the multiplicity (2009) (126)
Bounded polynomial vector fields (1990) (123)
Darboux integrability and the inverse integrating factor (2003) (117)
Higher order averaging theory for finding periodic solutions via Brouwer degree (2014) (115)
Horseshoes, entropy and periods for graph maps (1993) (114)
On the birth of limit cycles for non-smooth dynamical systems (2012) (111)
Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity (1991) (109)
Averaging theory for discontinuous piecewise differential systems (2015) (108)
Local analytic integrability for nilpotent centers (2003) (104)
Limit cycles of the generalized polynomial Liénard differential equations (2009) (100)
Maximum number of limit cycles for certain piecewise linear dynamical systems (2015) (95)
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry (2013) (92)
On the families of periodic orbits which bifurcate from the circular Sitnikov motions (1994) (92)
The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems (2005) (91)
Oscillatory solutions in the planar restricted three-body problem (1980) (91)
Algebraic aspects of integrability for polynomial systems (1999) (90)
Invariant algebraic surfaces of the Lorenz system (2002) (86)
Algebraic and topological classification of the homogeneous cubic vector fields in the plane (1990) (84)
Darboux theory of integrability for polynomial vector fields in R^n taking into account the multiplicity at infinity (2009) (84)
Configurations of limit cycles and planar polynomial vector fields (2004) (84)
Global dynamics of the Rikitake system (2009) (83)
Chapter 5 Integrability of polynomial differential systems (2004) (80)
Regularization of Discontinuous Vector Fields on $${\mathbb{R}^3}$$ via Singular Perturbation (2007) (78)
Uniqueness of limit cycles for Liénard differential equations of degree four (2012) (77)
Limit cycles for discontinuous quadratic differential systems with two zones (2014) (76)
Piecewise linear differential systems with two real saddles (2014) (76)
Entropy and periodic points for transitive maps (1999) (73)
A unified proof on the weak Hilbert 16th problem for n=2☆ (2006) (72)
Quadratic Hamiltonian Vector Fields (1994) (72)
Periodic orbits of maps of Y (1989) (70)
On the global dynamics of the Rabinovich system (2008) (67)
Central Configurations, Periodic Orbits, and Hamiltonian Systems (2015) (66)
Darboux integrability for 3D Lotka-Volterra systems (2000) (66)
On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities (2008) (62)
Polynomial first integrals for quasi-homogeneous polynomial differential systems (2002) (62)
Rational first integrals in the Darboux theory of integrability in C^n (2010) (61)
Darboux integrability and invariant algebraic curves for planar polynomial systems (2002) (61)
Lower Bounds for the Maximum Number of Limit cycles of Discontinuous piecewise Linear differential Systems with a Straight Line of Separation (2013) (60)
On the shape of limit cycles that bifurcate from Hamiltonian centers (2000) (60)
The Geometry of Quadratic Differential Systems with a Weak Focus of Second Order (2006) (59)
On the number of invariant straight lines for polynomial differential systems (1998) (59)
Averaging analysis of a perturbated quadratic center (2001) (59)
On the Darboux Integrability of Polynomial Differential Systems (2012) (57)
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation (2009) (55)
Minimal sets of periods for torus maps via Nielsen numbers (1995) (55)
Limit cycles of cubic polynomial vector fields via the averaging theory (2007) (54)
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line (2014) (52)
Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems (2011) (52)
New central configurations for the planar 5-body problem (2008) (52)
The Geometry of Quadratic Differential Systems with a Weak Focus of Third Order (2004) (51)
Limit Cycles Bifurcating from the Period Annulus of Quasi-Homogeneous Centers (2009) (51)
Introduction to the Qualitative Theory of Differential Systems: Planar, Symmetric and Continuous Piecewise Linear Systems (2013) (51)
Averaging theory at any order for computing periodic orbits (2013) (50)
Local first integrals of differential systems and diffeomorphisms (2003) (50)
Sliding Vector Fields via Slow--Fast Systems (2008) (50)
Periodic orbits of the Sitnikov problem via a Poincaré map (2000) (49)
Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones (2015) (49)
Global Dynamics of the Lorenz System with Invariant Algebraic Surfaces (2010) (49)
On the Families of Periodic Orbits of the Sitnikov Problem (2008) (48)
Minimal sets of periods for torus maps (1998) (48)
Piecewise linear differential systems with only centers can create limit cycles? (2017) (48)
On the limit cycles of polynomial vector field (2011) (47)
Limit cycles of a perturbed cubic polynomial differential center (2007) (46)
Regularization Of Discontinuous Vector Fields In Dimension Three (1997) (46)
Invariant algebraic surfaces of the Rikitake system (2000) (45)
The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems (2017) (44)
Central configurations of the planar 1+N body problem (1994) (44)
Some homoclinic phenomena in the three-body problem (1980) (44)
Invariant Algebraic Curves and Rational First Integrals for Planar Polynomial Vector Fields (2001) (44)
The focus-centre problem for a type of degenerate system (2000) (43)
Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry (2015) (42)
Liouvillian first integrals for the planar Lotka-Volterra system (2003) (42)
Horseshoes Near homoclinic orbits for Piecewise Linear Differential Systems in R3 (2007) (42)
Entropy of transitive tree maps (1997) (40)
A note on the existence of invariant punctured tori in the planar circular restricted three-body problem (1988) (40)
Chordal quadratic systems (1986) (40)
The shape of limit cycles that bifurcate from non-Hamiltonian centers (2001) (40)
Uniqueness of Algebraic Limit Cycles for Quadratic Systems (2001) (40)
Structural Stability of Planar Homogeneous Polynomial Vector Fields: Applications to Critical Points and to Infinity (1996) (40)
Chebyshev property of complete elliptic integrals and its application to abelian integrals (2002) (39)
Limit cycles of a class of polynomial systems (1988) (39)
Universal centres and composition conditions (2013) (38)
Weak Focus, Limit Cycles, and Bifurcations for Bounded Quadratic Systems (1995) (38)
Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields (2014) (37)
Symmetric planar central configurations of five bodies: Euler plus two (2009) (37)
Integrability of the Bianchi IX system (2005) (37)
Asymptotic Stability of Periodic Solutions for Nonsmooth Differential Equations with Application to the Nonsmooth van der Pol Oscillator (2007) (36)
Global Dynamics of a Lotka-Volterra Model with Two Predators Competing for One Prey (2014) (36)
A new result on averaging theory for a class of discontinuous planar differential systems with applications (2017) (36)
Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones (2016) (36)
Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres (2000) (36)
Algebraic limit cycles of degree 4 for quadratic systems (2004) (35)
Qualitative analysis of the anisotropic Kepler problem (1984) (35)
Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows (2002) (35)
Multiplicity of Invariant Algebraic Curves and Darboux Integrability (2000) (35)
Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities (2009) (35)
Inverse problems for invariant algebraic curves: explicit computations (2009) (35)
Periods and entropy for Lorenz-like maps (1989) (35)
On the differentiability of first integrals of two dimensional flows (2002) (35)
Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems (1987) (35)
First integrals of local analytic differential systems (2012) (35)
Planar quasi-homogeneous polynomial differential systems and their integrability (2013) (35)
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2 (2007) (35)
Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center (2018) (34)
A Class of Reversible Cubic Systems with an Isochronous Center (1999) (34)
Global Dynamics in the Poincaré ball of the Chen System having Invariant Algebraic Surfaces (2012) (34)
Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations (2015) (34)
Periodic orbits for the perturbed planar circular restricted 3–body problem (2019) (34)
Equilibrium Points and Central Configurations for the Lennard-Jones 2- and 3-Body Problems (2004) (34)
On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves (2011) (34)
Invariant algebraic curves of large degree for quadratic system (2005) (34)
Linear Estimation of the Number of Zeros of Abelian Integrals for Some Cubic Isochronous Centers (2002) (34)
New stacked central configurations for the planar 5-body problem (2011) (33)
On the Injectivity of C 1 Maps of the Real Plane (2002) (33)
Homoclinic and heteroclinic solutions in the restricted three-body problem (1988) (33)
Singular Points of Quadratic Systems: a Complete Classification in the Coefficient Space R12 (2008) (33)
HOPF BIFURCATION IN HIGHER DIMENSIONAL DIFFERENTIAL SYSTEMS VIA THE AVERAGING METHOD (2009) (33)
Central Configurations of the Planar Coorbitalsatellite Problem (2004) (33)
On the Hopf-zero bifurcation of the Michelson system (2011) (33)
Inverse Problems in Ordinary Differential Equations and Applications (2016) (32)
A topological characterization of the ω-limit sets for analytic flows on the plane, the sphere and the projective plane (2007) (32)
The cyclicity of period annuli of some classes of reversible quadratic systems (2006) (32)
One-dimensional quaternion homogeneous polynomial differential equations (2009) (32)
Corrigendum to: “The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems” [J. Differential Equations 227 (2006) 406–426] (2007) (32)
Global analytic first integrals for the real planar Lotka-Volterra system (2007) (32)
On the invariant hyperplanes for d-dimensional polynomial vector fields (2007) (31)
Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor (2002) (31)
Integrability and Algebraic Solutions for Planar Polynomial Differential Systems with Emphasis on the Quadratic Systems (1998) (31)
The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system (2009) (31)
3-dimensional Hopf bifurcation via averaging theory (2006) (31)
Global asymptotic stability of differential equations in the plane (1991) (30)
EJECTION–COLLISION ORBITS AND INVARIANT PUNCTURED TORI IN A RESTRICTED FOUR‐BODY PROBLEM (1998) (30)
Piecewise linear differential systems without equilibria produce limit cycles? (2017) (30)
Centers of quasi-homogeneous polynomial differential equations of degree three (2014) (29)
Limit cycles for generalized Kukles polynomial differential systems (2011) (29)
Lower bounds of the topological entropy for continuous maps of the circle of degree one (1988) (29)
Weierstrass integrability in Liénard differential systems (2011) (29)
Planar Cubic Polynomial Differential Systems with the Maximum Number of Invariant Straight Lines (2004) (29)
The motion of Saturn coorbital satellites in the restricted three-body problem (2001) (28)
Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields (1999) (28)
Averaging methods of arbitrary order, periodic solutions and integrability (2016) (28)
Periodic orbits and non-integrability of Hénon–Heiles systems (2011) (28)
On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system (2015) (28)
Phase portraits of cubic polynomial vector fields of Lotka–Volterra type having a rational first integral of degree 2 (2007) (28)
Structurally Stable Quadratic Vector Fields (1998) (28)
Central configurations of nested regular polyhedra for the spatial 2n-body problem (2008) (28)
On a Result of Darboux (2001) (27)
Quadratic vector fields with a weak focus of third order (1997) (27)
Triple and quadruple nested central configurations for the planar n-body problem (2009) (27)
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point (1985) (27)
On the centers of the weight-homogeneous polynomial vector fields on the plane (2009) (26)
A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals (2001) (26)
A family of isochronous foci with Darboux first integral (2005) (26)
Simultaneous Periodic Orbits Bifurcating from Two Zero-Hopf Equilibria in a Tritrophic Food Chain Model (2013) (26)
Periodic Orbits of a Collinear Restricted Three-Body Problem (2003) (26)
Periods for triangular maps (1993) (26)
Polynomial inverse integrating factors for polynomial vector fields (2006) (26)
On the limit cycles of polynomial differential systems with homogeneous nonlinearities (2000) (26)
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers (2015) (26)
On the remarkable values of the rational first integrals of polynomial vector fields (2007) (26)
Periods for transversal maps via Lefschetz numbers for periodic points (1995) (25)
A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter (2012) (25)
On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method (2002) (25)
Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line (2019) (25)
On the Existence of Central Configurations of p Nested n-gons (2009) (25)
Algebraic limit cycles in polynomial systems of differential equations (2007) (24)
Polynomial systems : a lower bound for the weakened 16th Hilbert problem (2001) (24)
Minimal periodic orbits for continuous maps of the interval (1984) (24)
Geometric Configurations of Singularities of Planar Polynomial Differential Systems (2021) (24)
On the number of limit cycles of a class of polynomial differential systems (2012) (24)
On the 16th Hilbert problem for algebraic limit cycles (2010) (24)
Periodic points of holomorphic maps via Lefschetz numbers (2000) (24)
Analytic nilpotent centers as limits of nondegenerate centers revisited (2016) (24)
Fundamentals : the case of triangular libration points (2000) (24)
FROM TOPOLOGICAL TO GEOMETRIC EQUIVALENCE IN THE CLASSIFICATION OF SINGULARITIES AT INFINITY FOR QUADRATIC VECTOR FIELDS (2015) (24)
Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields (2014) (24)
Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov–Schmidt reduction (2016) (24)
Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve (2019) (24)
Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors (2000) (24)
Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3 (2007) (24)
Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces (2002) (24)
Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems (2011) (23)
On the number of central configurations in the N-body problem (1990) (23)
On the elliptic restricted three-body problem (1990) (23)
Global first harmonic bifurcation diagram for odd piecewise linear control systems (1996) (23)
On the restrited three-body problem when the mass parameter is small (1982) (23)
Darboux Integrability for the Rössler System (2002) (23)
Limit cycles bifurcating from a perturbed quartic center (2011) (23)
Phase Portraits of Reversible Linear Differential Systems with Cubic Homogeneous Polynomial Nonlinearities Having a Non-degenerate Center at the Origin (2009) (23)
Improving the averaging theory for computing periodic solutions of the differential equations (2015) (23)
Qualitative classification of singular points (2005) (23)
Existence of piecewise linear differential systems with exactly n limit cycles for all n ∈ N (2003) (23)
Pseudo-Anosov homeomorphisms on a sphere with four punctures have all periods (1992) (23)
Darboux method and search of invariants for the Lotka–Volterra and complex quadratic systems (1999) (22)
Planar analytic vector fields with generalized rational first integrals (2001) (22)
Invariant hyperplanes and Darboux integrability for d-dimensional polynomial differential systems (2000) (22)
Complete geometric invariant study of two classes of quadratic systems (2012) (22)
Periodic Orbits of the Planar Anisotropic Kepler Problem (2017) (22)
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities (2004) (22)
ZERO-HOPF BIFURCATION IN A CHUA SYSTEM (2014) (22)
Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory (2008) (22)
Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere (2006) (22)
Liouvillian first integrals for Liénard polynomial differential systems (2010) (22)
Inverse problems for multiple invariant curves (2007) (22)
Darbouxian first integrals and invariants for real quadratic systems having an invariant conic (2002) (21)
Piecewise Linear Feedback Systems with Arbitrary Number of Limit Cycles (2003) (21)
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold (2018) (21)
Study on orbits near the triangular libration points in the perturbed restricted three body problem (1987) (21)
Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems (2013) (21)
Symmetric central configurations of the spatial n-body problem (1989) (21)
Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems (2014) (21)
Existence of PoincarÉ Maps in Piecewise Linear Differential Systems in Rn (2004) (21)
Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential (2013) (21)
Classification of quadratic systems admitting the existence of an algebraic limit cycle (2007) (21)
Heteroclinic, Homoclinic and Closed Orbits in the Chen System (2016) (21)
GENERALIZED RATIONAL FIRST INTEGRALS OF ANALYTIC DIFFERENTIAL SYSTEMS (2011) (20)
Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems (2009) (20)
Centers: their integrability and relations with the divergence (2016) (20)
Relationships between limit cycles and algebraic invariant curves for quadratic systems (2006) (20)
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds (2015) (20)
Polynomial first integrals of quadratic vector fields (2006) (20)
The symmetric central configurations of the 4-body problem with masses (2013) (20)
On the dynamics of the rigid body with a fixed point: periodic orbits and integrability (2013) (20)
Flows without wandering points on compact connected surfaces (2010) (19)
The 16th Hilbert problem restricted to circular algebraic limit cycles (2016) (19)
Global dynamics of a SD oscillator (2018) (19)
Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities (2018) (19)
PERIODS FOR TRANSVERSAL MAPS ON COMPACT MANIFOLDS WITH A GIVEN HOMOLOGY (1998) (19)
Analytical study of a triple Hopf bifurcation in a tritrophic food chain model (2009) (19)
Integrability of the constrained rigid body (2013) (19)
Centers for the Kukles homogeneous systems with odd degree (2015) (19)
A Classification of Braid Types for Diffeomorphisms of Surfaces of Genus Zero with Topological Entropy Zero (1990) (18)
A Unified Study on the Cyclicity of Period Annulus of the Reversible Quadratic Hamiltonian Systems (2004) (18)
Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles (2004) (18)
On the dynamics of a class of Kolmogorov systems (2013) (18)
Periodic orbits and non-integrability in a cosmological scalar field (2012) (18)
Integrability and global dynamics of the May–Leonard model (2013) (18)
Quadratic Perturbations of a Quadratic Reversible Lotka–Volterra System (2010) (18)
Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center (2017) (18)
Classification of the centers and isochronous centers for a class of quartic-like systems (2009) (18)
On the polynomial limit cycles of polynomial differential equations (2011) (18)
A method for characterizing nilpotent centers (2014) (18)
The Poincaré Center Problem (2008) (18)
Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems (2009) (18)
Minimal Lefschetz sets of periods for Morse–Smale diffeomorphisms on the n-dimensional torus (2010) (18)
Quadratic systems with a polynomial first integral: A complete classification in the coefficient space R12 (2009) (18)
Limit Cycles Bifurcating from a k-dimensional Isochronous Center Contained in ℝn with k ⩽ n (2007) (18)
Central configurations of the 4-body problem with masses m1 = m2 > m3 = m4 = m > 0 and m small (2014) (18)
Spatial central configurations for the 1 + 4 body problem (2002) (18)
On the central configurations of the planar 1 + 3 body problem (2011) (18)
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3 (2009) (18)
Zero–Hopf bifurcation in a hyperchaotic Lorenz system (2014) (18)
Formal and analytic integrability of the Lorenz system (2005) (18)
$3$ - dimensional Hopf bifurcation via averaging theory of second order (2009) (18)
Homogeneous Polynomial Vector Fields of Degree 2 on the 2{Dimensional Sphere (2006) (18)
Darboux Integrability and Reversible Quadratic Vector Fields (2005) (18)
Bifurcation of Limit Cycles from a Four-Dimensional Center in Control Systems (2005) (18)
Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields (2015) (17)
On the integrability of the Einstein–Yang–Mills equations (2007) (17)
Polynomial First integrals for the Chen and Lü Systems (2012) (17)
On the integrable rational Abel differential equations (2010) (17)
Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system (2016) (17)
Zero-Hopf bifurcation in the generalized Michelson system (2016) (17)
Periodic orbits of transversal maps (1995) (17)
Limit cycles for planar piecewise linear differential systems via first integrals (2002) (17)
Periodic orbits for a class of reversible quadratic vector field on R-3 (2007) (17)
Liénard and Riccati differential equations related via Lie Algebras (2008) (17)
PERIODIC SOLUTIONS OF A GALACTIC POTENTIAL (2014) (17)
Convex Central Configurations of the 4-Body Problem with Two Pairs of Equal Adjacent Masses (2017) (17)
Periodic orbits of the generalized Friedmann–Robertson–Walker Hamiltonian systems (2013) (17)
Limit cycles of polynomial systems with homogeneous non-linearities (1989) (17)
The flow curvature method applied to canard explosion (2011) (17)
A survey on the limit cycles of the generalized polynomial Liénard differential equations (2009) (17)
Periods and Lefschetz zeta functions. (1994) (17)
Limit cycles of vector fields of the form () (1987) (17)
Dynamics of a Lotka–Volterra map (2006) (17)
Hopf bifurcation for some analytic differential systems in R^3 via averaging theory (2011) (17)
Phase portraits of planar semi-homogeneous vector fields (II) (2000) (17)
New advances in celestial mechanics and Hamiltonian systems, HAMSYS-2001 (2004) (17)
Bifurcation of limit cycles from a centre in ℝ4 in resonance 1:N (2009) (17)
Canards from Chua's Circuit (2013) (16)
Lines of principal curvature on canal surfaces in R3. (2006) (16)
On the planar integrable differential systems (2011) (16)
Darboux integrating factors: Inverse problems (2011) (16)
Erratum: "Minimal sets of periods for Morse-Smale diffeomorphisms on orientable compact surfaces" (2009) (16)
Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III (2016) (16)
ON THE EXISTENCE AND UNIQUENESS OF LIMIT CYCLES IN PLANAR PIECEWISE LINEAR SYSTEMS WITHOUT SYMMETRY (2015) (16)
Zero-Hopf bifurcation for a class of Lorenz-type systems (2014) (16)
Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol–Duffing and the Rayleigh–Duffing oscillators (2020) (16)
BIFURCATION OF LIMIT CYCLES FROM A 4-DIMENSIONAL CENTER IN R m IN RESONANCE 1 : N (2012) (16)
Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems (2012) (16)
Polynomial differential systems with explicit non-algebraic limit cycles (2012) (16)
Phase portraits of the two-body problem with Manev potential (2001) (16)
Invariant algebraic curves for the cubic Liénard system with linear damping (2006) (16)
Darboux theory of integrability for a class of nonautonomous vector fields (2009) (16)
Isochronicity and linearizability of planar polynomial Hamiltonian systems (2015) (16)
Polynomial differential systems having a given Darbouxian first integral (2004) (16)
On the algebraic limit cycles of Liénard systems (2008) (16)
Darboux integrability of the Lü system (2013) (16)
Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree (2011) (15)
The Hopf bifurcation in the Shimizu–Morioka system (2015) (15)
The center problem for Z2-symmetric nilpotent vector fields (2018) (15)
Corrigendum: Higher order averaging theory for finding periodic solutions via Brouwer degree (2014 Nonlinearity 27 563) (2014) (15)
Comet- and Hill-type periodic orbits in restricted (N+1)-body problems (2011) (15)
Periodic orbits in the zero-Hopf bifurcation of the Rössler system (2014) (15)
Bifurcation of Limit Cycles from a Polynomial Degenerate Center (2010) (15)
On the extensions of the Darboux theory of integrability (2013) (15)
Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4 (2011) (15)
n-1 independent first integrals for linear differential systems in Rn and Cn (2004) (15)
Structural stability of planar semi-homogeneous polynomial vector fields applications to critical points and to infinity (2000) (15)
Global dynamics of stationary solutions of the extended Fisher–Kolmogorov equation (2011) (15)
Periodic orbits for a class of galactic potentials (2012) (15)
Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications☆ (1988) (15)
Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems (2014) (15)
On the Lefschetz periodic point free continuous self-maps on connected compact manifolds (2011) (15)
Centers for the Kukles homogeneous systems with even degree (2017) (14)
On the set of periods for maps (1995) (14)
Phase Portraits of the Quadratic Systems with a Polynomial Inverse Integrating Factor (2009) (14)
Bifurcation of Relative Equilibria of the (1+3)-Body Problem (2015) (14)
Formal and Analytic Integrability of the Rossler System (2007) (14)
Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node (2013) (14)
Hamiltonian Systems and Celestial Mechanics (HAMSYS-98) (2000) (14)
QUADRATIC SYSTEMS WITH AN INTEGRABLE SADDLE: A COMPLETE CLASSIFICATION IN THE COEFFICIENT SPACE R 12 (2012) (14)
Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems (2006) (14)
New families of periodic orbits for a galactic potential (2016) (14)
A note on the set of periods for Klein bottle maps. (1993) (14)
Polynomial and rational first integrals for planar homogeneous polynomial differential systems (2013) (14)
Periodic orbits for the generalized Yang–Mills Hamiltonian system in dimension 6 (2014) (14)
The Completely Integrable Differential Systems are Essentially Linear Differential Systems (2015) (14)
Global Topological Configurations of Singularities for the Whole Family of Quadratic Differential Systems (2020) (14)
Canards Existence in FitzHugh-Nagumo and Hodgkin-Huxley Neuronal Models (2015) (14)
Open problems on the algebraic limit cycles of planar polynomial vector fields (2008) (14)
Periodic solutions of el nino model through the vallis differential system (2014) (14)
Phase portraits of the quadratic vector fields with a polynomial first integral (2006) (14)
Polynomial inverse integrating factors for quadratic differential systems (2010) (13)
Structural Stability of Planar Hamiltonian Polynomial Vector Fields (1994) (13)
Abelian integrals of quadratic hamiltonian vector fields with an invariant straight line (1995) (13)
Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones (2017) (13)
Sufficient conditions for the existence of at least n or exactly n limit cycles for the Liénard differential systems (2007) (13)
Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points (2020) (13)
Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory (2017) (13)
The global flow of the hyperbolic restricted three-body problem (1995) (13)
Periodic point free continuous self-maps on graphs and surfaces (2012) (13)
Analytic first integrals of the FitzHugh – Nagumo systems (2009) (13)
Invariant Tori and Cylinders for a Class of Perturbed Hamiltonian Systems (1991) (13)
Hamiltonian systems and celestial mechanics (1993) (13)
Formal and analytical integrability of the Bianchi IX system (2006) (13)
On the global flow of a 3--dimensional Lotka--Volterra system (2012) (13)
Darboux integrability of generalized Yang–Mills Hamiltonian system (2016) (13)
New criteria for the existence and non-existence of limit cycles in Liénard differential systems (2009) (13)
Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four (2014) (13)
POLYNOMIAL AND RATIONAL FIRST INTEGRALS FOR PLANAR QUASI – HOMOGENEOUS POLYNOMIAL DIFFERENTIAL SYSTEMS (2015) (13)
Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differenti (2011) (13)
Periodic solutions of delay equations with three delays via bi-Hamiltonian systems (2006) (13)
Minimal sets of periods for Morse–Smale diffeomorphisms on non-orientable compact surfaces without boundary (2013) (13)
On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension (2011) (13)
Limit Cycles for a Class of Third-Order Differential Equations (2010) (12)
Limit cycles bifurcating from a two-dimensional isochronous cylinder (2009) (12)
Limit cycles of polynomial differential equations with quintic homogeneous nonlinearities (2013) (12)
Limit cycles for a generalization of polynomial Liénard differential systems (2013) (12)
On the local analytic integrability at the singular point of a class of Liénard analytic differential systems (2010) (12)
Phase Portraits of Planar Semi-Homogeneous Vector Fields (III) (2011) (12)
A sufficient condition in order that the real Jacobian conjecture in R2 holds (2016) (12)
Periods for Continuous Self-Maps of the Figure-Eight Space (2003) (12)
New 1:1:1 periodic solutions in $$3$$3-dimensional galactic-type Hamiltonian systems (2014) (12)
A gravitational Approavh to the Titius-Bode law (1987) (12)
Phase Portraits and Invariant Straight lines of Cubic Polynomial Vector Fields Having a Quadratic Rational First Integral (2011) (12)
Global Injectivity of C 1 Maps of the Real Plane, Inseparable Leaves and the Palais–Smale Condition (2007) (12)
Periodic orbits and their stability in the Rössler prototype-4 system (2012) (12)
A note on the set of periods for continuous maps of the circle which have degree one (1985) (12)
Characterization of transversal homothetic solutions in the n-body problem (1981) (12)
Darboux integrability and algebraic invariant surfaces for the Rikitake system (2008) (12)
Limit cycles bifurcating from planar polynomial quasi--homogeneous centers (2015) (12)
Analytic integrability of quadratic–linear polynomial differential systems (2009) (12)
LOW-DIMENSIONAL COMBINATORIAL DYNAMICS (1999) (12)
Canards Existence in Memristor’s Circuits (2016) (12)
A Note on the Set of Periods of Transversal Homological Sphere Self-maps (2003) (12)
Crossing Limit Cycles of Planar Piecewise Linear Hamiltonian Systems without Equilibrium Points (2020) (11)
CONFIGURATIONS OF FANS AND NESTS OF LIMIT CYCLES FOR POLYNOMIAL VECTOR FIELDS IN THE PLANE (1989) (11)
Trapezoid central configurations (2017) (11)
Formal and analytic first integrals of the Einstein–Yang–Mills equations (2005) (11)
Symmetric planar non-collinear relative equilibria for the Lennard-Jones potential 3-body problem with two equal masses (2004) (11)
Centers and Isochronous Centers for Two Classes of Generalized Seventh and Ninth Systems (2010) (11)
A new approach to the vakonomic mechanics (2014) (11)
Strongly formal Weierstrass non-integrability for polynomial differential systems in C 2 (2020) (11)
Periodic solutions of discontinuous second order differential systems (2014) (11)
Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants (2015) (11)
Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres (2013) (11)
On Yu.A. Mitropol’skii’s theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides (2008) (11)
Periodic orbits of the planar collision restricted 3-body problem (2006) (11)
Limit cycles of resonant four-dimensional polynomial systems (2010) (11)
Transversal Homoclinic Orbits in the Collinear Restricted Three-Body Problem (2005) (11)
The planar discontinuous piecewise linear refracting systems have at most one limit cycle (2021) (11)
Birth of limit cycles for a class of continuous and discontinuous differential systems in (d + 2)–dimension (2015) (11)
On the Number of Limit cycles for a Generalization of LiéNard Polynomial differential Systems (2013) (11)
Phase portraits of uniform isochronous quartic centers (2015) (11)
Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems (2005) (11)
Periodic orbits of Hamiltonian systems: Applications to perturbed Kepler problems (2013) (11)
A Classification of braid types for periodic orbits of diffeomorphisms of surfaces of genus one with topological entropy zero (1991) (11)
Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree − 3 (2011) (11)
Bifurcation of limit cycles from an n-dimensional linear center inside a class of piecewise linear differential systems (2012) (11)
Normal Forms for Polynomial Differential Systems in ℝ3 Having an Invariant Quadric and a Darboux Invariant (2015) (11)
Integrability of the Rucklidge system (2014) (11)
On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables (2014) (11)
An inverse approach to the center problem (2019) (11)
Phase portraits of planar piecewise linear refracting systems: Focus-saddle case (2020) (10)
AVERAGING METHODS FOR STUDYING THE PERIODIC ORBITS OF DISCONTINUOUS DIFFERENTIAL SYSTEMS (2012) (10)
On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities (2014) (10)
Liouvillian integrability of the FitzHugh–Nagumo systems (2010) (10)
Limit cycles bifurcating from isochronous surfaces of revolution in R3 (2011) (10)
Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles (2004) (10)
A note on a conjecture of Poincaré (1981) (10)
ON THE INTEGRABILITY OF A MUTHUSWAMY–CHUA SYSTEM (2012) (10)
On the spatial central configurations of the 5--body problem andtheir bifurcations (2008) (10)
Further considerations on the number of limit cycles of vector fields of the form () (1987) (10)
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers (2018) (10)
Qualitative study of the hyperbolic collision restricted three-body problem (1996) (10)
Local Darboux first integrals of analytic differential systems (2014) (10)
Periodic solutions induced by an upright position of small oscillations of a sleeping symmetrical gyrostat (2013) (10)
On the Mechanisms for Producing Linear Type Centers in Polynomial Differential Systems (2018) (10)
On the C1 non-integrability of differential systems via periodic orbits (2011) (10)
Limit cycles of generalized Liénard polynomial differential systems via averaging theory (2014) (10)
Generalized van der Waals Hamiltonian: periodic orbits and C1 nonintegrability. (2012) (10)
On the analytic integrability of the Liénard analytic differential systems (2015) (10)
Families of Periodic Orbits for the Spatial Isosceles 3-Body Problem (2004) (10)
On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems (2015) (10)
On the Maximum Number of Limit cycles of a Class of Generalized LiéNard differential Systems (2012) (10)
Limit cycles created by piecewise linear centers. (2019) (10)
Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3 (2014) (10)
Global Classification of a Class of cubic Vector Fields whose Canonical Regions are Period annuli (2011) (10)
Brief survey on the topological entropy (2015) (10)
Quadratic systems with a unique finite rest point (1988) (10)
A note on Liouvillian integrability (2012) (10)
LIMIT CYCLES OF POLYNOMIAL LIENARD SYSTEMS (1998) (10)
Limit cycles of Discontinuous Piecewise Linear differential Systems (2011) (10)
Global Injectivity of Polynomial Maps Via Vector Fields (1995) (10)
Statistical Measure of Quadratic Vector Fiedls (2003) (10)
Darboux invariants for planar polynomial differential systems having an invariant conic (2014) (9)
Dynamics of the Higgins–Selkov and Selkov systems (2018) (9)
New trends for Hamiltonian systems and celestial mechanics : Mexico 13-17 September 1994 (1996) (9)
On planar polynomial vector fields with elementary first integrals (2019) (9)
Limit Cycles of a Class of Generalized Liénard Polynomial Equations (2015) (9)
Weakened Markus–Yamabe conditions for 2-dimensional global asymptotic stability (2004) (9)
Heteroclinic Orbits and Bernoulli Shift¶for the Elliptic Collision Restricted¶Three-Body Problem (2001) (9)
Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity (2010) (9)
Generalized Weierstrass Integrability of the Abel Differential Equations (2013) (9)
Center conditions for a class of planar rigid polynomial differential systems (2014) (9)
ON THE PERIODIC SOLUTIONS OF DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS (2015) (9)
Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two (1996) (9)
Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals (2018) (9)
Two Limit Cycles in Liénard Piecewise Linear Differential Systems (2018) (9)
On the periodic solutions of a class of Duffing differential equations (2012) (9)
POINCARE COMPACTIFICATION OF HAMILTONIAN POLYNOMIAL VECTOR FIELDS (1995) (9)
On the integrability of Liénard systems with a strong saddle (2017) (9)
On the nonsingular quadratic differential equations in the plane (1988) (9)
Global analytic integrability of the Rabinovich system (2008) (9)
Integrability and limit cycles of the Moon–Rand system (2015) (9)
New results on averaging theory and applications (2016) (9)
Bifurcation of limit cycles from a 4-dimensional center in 1: n resonance (2009) (9)
Quadratic systems with limit cycles of normal size (2008) (9)
The Co-circular Central Configurations of the $$5$$5-Body Problem (2015) (9)
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms (2016) (9)
Zero‐Hopf bifurcation in the FitzHugh–Nagumo system (2014) (9)
When singular points determine quadratic systems (2008) (9)
Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems (2015) (9)
On the Center conditions for analytic Monodromic degenerate Singularities (2012) (9)
Quadratic systems with a rational first integral of degree three: a complete classification in the coefficient space ℝ12 (2007) (9)
On the periodic orbits and the integrability of the regularized Hill lunar problem (2011) (9)
Polynomial First Integrals of Quadratic Systems (2001) (8)
On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry. (2010) (8)
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2 (2015) (8)
Symmetric Periodic Orbits for the Collinear 3-body Problem Via the Continuation Method (2003) (8)
Liouvillian first integrals of quadratic–linear polynomial differential systems (2011) (8)
Transcritical and zero-Hopf bifurcations in the Genesio system (2017) (8)
Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree −2 (2011) (8)
Averaging approach to cyclicity of hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systems (2017) (8)
Ejection and collision orbits of the spatial restricted three-body problem (1985) (8)
On the periodic orbits of the third-order differential equation x‴-μx″+x′-μx=εF(x, x′, x″) (2013) (8)
Invariant Parallels, Invariant Meridians and Limit Cycles of Polynomial Vector Fields on Some 2-Dimensional Algebraic Tori in $$\mathbb R ^3$$R3 (2013) (8)
Large amplitude oscillations for a class of symmetric polynomial differential systems in R (2007) (8)
New central configurations for the planar 7-body problem (2009) (8)
Linear estimate for the number of limit cycles of a perturbed cubic polynomial differential system (2009) (8)
Limit cycles for a class of second order differential equations (2011) (8)
Nonexistence of limit cycles for a class of structurally stable quadratic vector fields (2006) (8)
A non-autonomous kind of Duffing equation (2015) (8)
Symmetric periodic orbits near a heteroclinic loop in R3 formed by two singular points, a semistable periodic orbit and their invariant manifolds (2009) (8)
Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields (2019) (8)
Bifurcation of limit cycles from a two-dimensional center inside Rn (2010) (8)
Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus☆ (2011) (8)
Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems (1995) (8)
Limit Cycles Coming from Some Uniform Isochronous Centers (2016) (8)
A new qualitative proof of a result on the real Jacobian conjecture. (2015) (8)
Polynomial and linearized normal forms for almost periodic difference systems (2009) (8)
The set of periods for the Morse-Smale diffeomorphisms on T^2 (2012) (8)
Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems (2017) (8)
Spatial bi-stacked central configurations formed by two dual regular polyhedra (2014) (8)
Periods of continuous maps on some compact spaces (2017) (8)
Limit cycles and invariant cylinders for a class of continuous and discontinuous vector field in dimention 2n (2011) (8)
On the limit cycles for a class of fourth-order differential equations (2009) (8)
Limit cycles bifurcating from a degenerate center (2014) (8)
On the periodic solutions of a perturbed double pendulum (2011) (8)
Integrability and zero-Hopf bifurcation in the Sprott A system (2020) (8)
Global dynamics of the Rössler system with conserved quantities (2011) (8)
Structural Stability of Constrained Polynomial Systems (1998) (8)
Dynamics of a galactic Hamiltonian system (2012) (8)
A survey on the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on some closed manifolds (2013) (8)
On the limit cycles bifurcating from an ellipse of a quadratic center (2014) (8)
On the Darboux integrability of a three–dimensional forced–damped differential system (2017) (7)
Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3 (2018) (7)
Dynamics of Some Three-Dimensional Lotka–Volterra Systems (2017) (7)
On Lefschetz periodic point free self-maps (2018) (7)
On polynomial integrability of the Euler equations on so(4) (2015) (7)
The global flow of the parabolic restricted three-body problem (2004) (7)
HAMILTONIAN NON-DEGENERATE CENTERS OF LINEAR PLUS CUBIC HOMOGENEOUS POLYNOMIAL (2014) (7)
On the global dynamics of a finance model (2018) (7)
Limit cycles of discontinuous piecewise polynomial vector fields (2017) (7)
Hopf bifurcation in the full repressilator equations (2015) (7)
Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields (2020) (7)
The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3 (2020) (7)
Periods of Morse–Smale diffeomorphisms of $\mathbb S^2$ (2008) (7)
Phase portraits of continuous piecewise linear Liénard differential systems with three zones (2019) (7)
Darbouxian integrability for polynomial vector fields on the 2- dimensional sphere (2002) (7)
The Geometry of Quadratic Polynomial Differential Systems with a Weak Focus and an Invariant Straight Line (2010) (7)
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2 (2013) (7)
Limit cycles bifurcating of Kolmogorov systems in R2 and in R3 (2020) (7)
The Limit Cycles of Discontinuous Piecewise Linear Differential Systems Formed by Centers and Separated by Irreducible Cubic Curves II (2021) (7)
Limit cycles of the classical Liénard differential systems: A survey on the Lins Neto, de Melo and Pugh’s conjecture (2017) (7)
Limit cycles bifurcating from a zero–Hopf singularity in arbitrary dimension (2018) (7)
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers (2012) (7)
Symmetric periodic orbits for the collinear charged 3-body problem (2017) (7)
Structurally Stable Quadratic Foliations (2008) (7)
A note on Liouvillian first integrals and invariant algebraic curves (2013) (7)
Polynomial foliations of ℛ2 (2001) (7)
Inverse Problems in Darboux’ Theory of Integrability (2012) (7)
LIOUVILLIAN AND ANALYTIC FIRST INTEGRALS FOR THE BRUSSELATOR SYSTEM (2012) (7)
Kneading theory of Lorenz maps (1989) (7)
Periodic Orbits near equilibria (2010) (7)
Structurally Unstable Quadratic Vector Fields of Codimension One (2018) (7)
New central configurations of the (n+1)-body problem (2017) (7)
Phase Portraits for Quadratic Systems Having a Focus and One Antisaddle (1994) (7)
The generalized Liénard polynomial differential systems x'=y, y'=-g(x)-f(x)y with degg=degf+1 are not Liouvillian integrable (2015) (7)
Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities (2013) (7)
Phase portraits of a new class of integrable quadratic vector fields (2000) (7)
The Bianchi VIII model is neither global analytic nor Darboux integrable (2010) (7)
Qualitative study of a charged restricted three-body problem (2013) (7)
CONFIGURATIONS OF SINGULARITES FOR QUADRATIC DIFFERENTIAL SYSTEMS WITH TOTAL FINITE MULTIPLICITY LOWER THAN 2 (2013) (7)
First integrals and Darboux polynomials of natural polynomial Hamiltonian systems (2010) (7)
Global asymptotic stability for a class of discontinuous vector fields in (2007) (7)
On the existence of central configurations of p nested regular polyhedra (2010) (7)
Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve (2020) (7)
Center problem for Λ–Ω differential systems (2019) (7)
Planar real polynomial differential systems of degree $n> 3$ having a weak focus of high order (2012) (7)
A Note on the Periods of Surface Homeomorphisms (1993) (6)
INVERSE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS: APPLICATIONS TO MECHANICS (2014) (6)
PHASE PORTRAITS OF PLANAR SEMI-HOMOGENEOUS (2011) (6)
The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems (2017) (6)
The cored and logarithm galactic potentials: Periodic orbits and integrability (2012) (6)
Minimal periodic orbits of continuous mappings of the circle (1981) (6)
Phase portraits for quadratic homogeneous polynomial vector fields on S^2 (2008) (6)
Hjelmslev quadrilateral central configurations (2019) (6)
Periodic Structure of Transversal Maps on $$\mathbb{C }$$P$$^{n}$$, $$\mathbb{H }$$P$$^{n}$$ and $$\mathbb{S }^{p}\times \mathbb{S }^{q}$$ (2013) (6)
NEW FAMILY OF CENTERS FOR POLYNOMIAL VECTOR FIELDS OF ARBITRARY DEGREE (2008) (6)
A restricted version of the Hilbert's 16th problem for quadratic vector fields (2009) (6)
Periodic structure of transversal maps on sum-free products of spheres (2019) (6)
On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems (2015) (6)
Minimum Number of Fixed Points for Maps of the Figure Eight Space (1999) (6)
On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation (2018) (6)
ON THE EXTENSION OF SHARKOVSKIĬ'S THEOREM TO CONNECTED GRAPHS WITH NON-POSITIVE EULER CHARACTERISTIC (1995) (6)
Dynamics of a family of Lotka–Volterra systems in R3 (2020) (6)
Phase portraits of quadratic Lotka–Volterra systems with a Darboux invariant in the Poincaré disc (2014) (6)
Periodic orbits of the spatial anisotropic Manev problem (2012) (6)
Structural Stability of Planar Polynomial Foliations (2005) (6)
Periodic Solutions for the Generalized Anisotropic Lennard-Jones Hamiltonian (2015) (6)
Liouvillian Integrability Versus Darboux Polynomials (2016) (6)
Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems (2001) (6)
Rational First integrals for Polynomial Vector Fields on Algebraic hypersurfaces of ℝn+1 (2012) (6)
Periodic Solutions of the Duffing DifferentialEquation Revisited via the Averaging Theory (2020) (6)
The Michelson system is neither global analytic, nor Darboux integrable (2010) (6)
Periodic solutions of second order Hamiltonian systems (2013) (6)
On the dynamics of the Bianchi IX system (2007) (6)
Limit Cycles for a Mechanical System Coming from the Perturbation of a Four–Dimensional Linear Center (2006) (6)
PERIODS FOR MAPS OF THE FIGURE-EIGHT SPACE (1995) (6)
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria (2018) (6)
Quadratic systems with a rational first integral of degree 2: A complete classification in the coefficient space $$\mathbb{R}^{12} $$ (2007) (6)
Hopf bifurcation from infinity for planar control systems (1997) (6)
Simultaneity of centres in ℤq-equivariant systems (2018) (6)
The Markus–Yamabe Conjecture Does not Hold for Discontinuous Piecewise Linear Differential Systems Separated by One Straight Line (2020) (6)
Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2 (2020) (6)
PERIODIC SOLUTIONS FOR NONLINEAR DIFFERENTIAL SYSTEMS: THE SECOND ORDER BIFURCATION FUNCTION (2016) (6)
Integrability of a SIS model (2008) (6)
Centers for a class of generalized quintic polynomial differential systems (2014) (5)
Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems (2015) (5)
Limit cycles bifurcanting from the period annulus of a uniform isochronous center in a quartic polynomial differential system (2015) (5)
Quadratic systems with an invariant conic having Darboux invariants (2017) (5)
Analytic integrability of a Chua system (2008) (5)
Zero-Hopf Periodic Orbit of a Quadratic System of Differential Equations Obtained from a Third-Order Differential Equation (2019) (5)
Hopf bifurcation of a generalized Moon-Rand system (2015) (5)
The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem (2021) (5)
Limit cycles of a second-order differential equation (2019) (5)
Polynomial Vector Fields in ℝ3 with Infinitely Many Limit cycles (2013) (5)
Analytic integrability of Bianchi class A cosmological models with k=1 (2012) (5)
Periodic solutions for differential systems in ℝ3 and ℝ4 (2020) (5)
A Poincaré index formula for surfaces with boundary (1998) (5)
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity m_f=2 (2014) (5)
On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium (2017) (5)
A note on the equilibria of an economic model with local competition "à la Cournot" (2012) (5)
On the dynamics of the Szekeres system (2019) (5)
New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System (2019) (5)
Periodic Solutions of a Periodic FitzHugh-Nagumo System (2015) (5)
On the periodic orbits of the fourth-order differential equation u⁗+qu″−u=εF(u,u′,u″,u‴) (2012) (5)
Topological entropy and periods of graph maps (2012) (5)
On the global dynamics of a three-dimensional forced-damped differential system (2020) (5)
Zero‐Hopf bifurcation in the Volterra‐Gause system of predator‐prey type (2017) (5)
On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems (2020) (5)
Canards Existence in the Hindmarsh–Rose Model (2019) (5)
Global dynamics of a Lotka–Volterra system in ℝ3 (2020) (5)
Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model (2018) (5)
Results and open questions on some invariants measuring the dynamical complexity of a map (2009) (5)
Limit Cycles for a Class of Three-Dimensional Polynomial Differential Systems (2007) (5)
Inverse Approach in Ordinary Differential Equations: Applications to Lagrangian and Hamiltonian Mechanics (2014) (5)
Horseshoe Periodic Orbits in the Restricted Three Body Problem (2004) (5)
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary (2021) (5)
Badly ordered cycles of circle maps (1998) (5)
Centers and isochronous centers for generalized quintic systems (2015) (5)
Uniqueness of limit cycles for a class of Lienard systems with applications (1989) (5)
Integrals, invariant manifolds, and degeneracy for central force problems in Rn (1992) (5)
Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system (2013) (5)
The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems (2020) (5)
A Correction to the Paper “Quadratic Hamiltonian Vector Fields” (1996) (5)
Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (1994) (5)
Erratum to “Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3” [Nonlinear Anal. 70 (2009) 3549–3560] (2009) (5)
Restricted three body problems and the non regularization of the elliptic collision restricted isosceles three body problem (1998) (5)
Number of Invariant Straight Lines for Homogeneous Polynomial Vector Fields of Arbitrary Degree and Dimension (2009) (5)
On the analytic integrability of the cored galactic Hamiltonian (2014) (5)
Divergence and Poincaré–Liapunov constants for analytic differential systems (2015) (5)
Liouvillian first integrals for a class of generalized Liénard polynomial differential systems (2016) (5)
PERIODIC POINTS OF ${\mathcal C}^1$ MAPS AND THE ASYMPTOTIC LEFSCHETZ NUMBER (1995) (5)
Global dynamics of the Hořava–Lifshitz cosmological system (2019) (5)
Boundedness, invariant algebraic surfaces and global dynamics for a spectral model of large-scale atmospheric circulation (2005) (5)
Global Phase portraits of some Reversible cubic Centers with Collinear or Infinitely Many Singularities (2012) (5)
Limit Cycles Bifurcating from a 2-Dimensional Isochronous Torus in ℝ3 (2011) (5)
Axiomatic definition of the topological entropy on the interval (2003) (5)
The Hopf cyclicity of the centers of a class of quintic polynomial vector fields (2015) (5)
On the analytic integrability of the 5–dimensional Lorenz system for the gravity–wave activity (2013) (5)
Global dynamics of Hořava–Lifshitz cosmology with non-zero curvature and a wide range of potentials (2020) (5)
Limit cycles for a class of discontinuous generalized Liénard polynomial differential equations (2013) (5)
Liouvillian and analytic integrability of the quadratic vector fields having an invariant ellipse (2014) (5)
On the Periodic Orbits of the Static, Spherically Symmetric Einstein-Yang-Mills Equations (2009) (5)
Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles (2016) (5)
Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities (2015) (5)
The Global Phase Space for the 2- and 3-Dimensional Kepler Problems (2009) (5)
Analytic integrability of the Bianchi Class A cosmological models with 0 k < 1 (2012) (4)
Cubic homogeneous polynomial centers (2014) (4)
Global Dynamics of the Kummer–Schwarz Differential Equation (2014) (4)
Integrability and alegbraic solutions for the 2-D lotka-Volterra system (1999) (4)
On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree (2008) (4)
Global Dynamics and Bifurcation of Periodic Orbits in a Modified Nosé-Hoover Oscillator (2020) (4)
Continuous maps of the circle with finitely many periodic points (1981) (4)
The full periodicity kernel of the trefoil (1996) (4)
PERIODS FOR CONTINUOUS SELF MAPS OF A BOUQUET OF CIRCLES (1994) (4)
An inverse approach to the center-focus problem for polynomial differential system with homogenous nonlinearities (2017) (4)
Periodic Orbits of the Planar Anisotropic Manev Problem and of the Perturbed Hydrogen Atom Problem (2019) (4)
Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6 (2015) (4)
On the structure of the set of periodic points of a continuous map of the interval with finitely many periodic points (1982) (4)
Analytic integrability of Hamiltonian systems with exceptional potentials (2015) (4)
Semistable Limit Cycles that Bifurcate from Centers (2003) (4)
Limit cycles for a variant of a generalized Riccati equation (2017) (4)
The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems (2020) (4)
Final evolutions of a class of May-Leonard Lotka-Volterra systems (2020) (4)
Central configurations of nested rotated regular tetrahedra (2009) (4)
Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems (2018) (4)
The geometry of the real planar polynomial differential systems having their orbits embedded in conics (2011) (4)
On the polynomial integrability of Kirchoff’s equations (2012) (4)
Darbouxian Integrability of Polynomial Vector Fields with Special Emphasis on the Two-Dimensional Surfaces (2002) (4)
New family of cubic Hamiltonian centers (2017) (4)
Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry (2016) (4)
Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles (2021) (4)
Proof of Theorem 1.1(b) (2018) (4)
Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system (2021) (4)
Centers for a 6-parameter family of polynomial vector fields of arbitrary degree (2008) (4)
Phase portraits for quadratic homogeneous polynomial vector fields on $$ \mathbb{S}^2 $$ (2009) (4)
Periodic motion in non-axially symmetric galaxies (2019) (4)
On the 16th Hilbert Problem for Discontinuous Piecewise Polynomial Hamiltonian Systems (2021) (4)
On the central configurations in the spatial 5-body problem with four equal masses (2016) (4)
Algebraic Limit Cycles on Quadratic Polynomial Differential Systems (2017) (4)
Analytic reducibility of nondegenerate centers: Cherkas systems (2016) (4)
First Integrals and Phase Portraits of Planar Polynomial Differential Cubic Systems with the Maximum Number of Invariant Straight Lines (2016) (4)
Periodic solutions of the Nathanson’s and the Comb-drive models (2018) (4)
The centers and their cyclicity for a class of polynomial differential systems of degree 7 (2020) (4)
Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries (2018) (4)
GLOBAL ANALYTIC FIRST INTEGRALS FOR THE SIMPLIFIED MULTISTRAIN/TWO-STREAM MODEL FOR TUBERCULOSIS AND DENGUE FEVER (2009) (4)
Periodic orbits of the planar anisotropic generalized Kepler problem (2019) (4)
A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems (2020) (4)
The index of singularities of vector fields and finite jets (2011) (4)
Poincaré Compactification of the Kepler and the Collinear Three Body Problems (1994) (4)
Linear type global centers of linear systems with cubic homogeneous nonlinearities (2019) (4)
Bifurcations from families of periodic solutions in piecewise differential systems (2018) (4)
A note on the periodic orbits of a kind of Duffing equations (2013) (4)
On the Dynamics and Topology of the Elliptic Rectilinear Restricted 3-Body Problem (2000) (4)
On the limit cycles of a class of piecewise linear differential systems in R4 with two zones (2011) (4)
Periodic orbits of the fourth-order non-autonomous differential equation iu'''' + qu'' + pu = εF(t, u, u', u'', u''') (2012) (4)
On the periodic solutions of the relativistic driven harmonic oscillator (2020) (4)
On the Darboux integrability of the Painlevé II equations (2015) (4)
Global phase portraits of Kukles differential systems with homogenous polynomial nonlinearities of degree 5 having a center (2016) (4)
Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis (2018) (4)
Phase portraits and bifurcation diagram of the Gray-Scott model (2021) (4)
Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems (2017) (4)
Quadratic Planar Differential Systems with Algebraic Limit Cycles via Quadratic Plane Cremona Maps (2019) (4)
On the Limit Cycles of Linear Differential Systems with Homogeneous Nonlinearities (2015) (4)
Degenerate Fold-Hopf Bifurcations in a Rössler-Type System (2017) (4)
Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential (2019) (4)
Global Configurations of Singularities for Quadratic Differential Systems with Total Finite Multiplicity Three and at Most Two Real Singularities (2014) (4)
Counterexample to a Conjecture on the Algebraic Limit Cycles of Polynomial Vector Fields (2005) (4)
Symbolic dynamics of the elliptic rectilinear restricted 3--body problem (2008) (4)
Periodic Orbits Bifurcating from a Nonisolated Zero-Hopf Equilibrium of Three-Dimensional Differential Systems Revisited (2018) (3)
Global phase portraits of quadratic systems with an ellipse and a straight line as invariant algebraic curves (2015) (3)
Double-Antiprism Central Configurations of the $$3n$$-Body Problem (2013) (3)
Hyperbolic Periodic orbits from the bifurcation of a Four-Dimensional Nonlinear Center (2007) (3)
Limit cycles for a Class of Continuous Piecewise Linear differential Systems with Three Zones (2012) (3)
Crossing Periodic Orbits via First Integrals (2020) (3)
A Counterexample to a Result on Lotka–Volterra Systems (2016) (3)
On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations (2018) (3)
Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator (2014) (3)
Periodic Solutions of the extended Duffing-Van der Pol Oscillator (2014) (3)
On Liouvillian integrability of the first–order polynomial ordinary differential equations (2012) (3)
The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems (2021) (3)
Polynomial Solutions of Equivariant Polynomial Abel Differential Equations (2017) (3)
On the Singularities of the Planar Cubic Polynomial Differential Systems and the Euler Jacobi Formula (2020) (3)
A new sufficient condition in order that the real Jacobian conjecture in R2 holds (2021) (3)
Reversible nilpotent centers with cubic homogeneous nonlinearities (2016) (3)
Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems (2018) (3)
Sets of Periods for Maps on Connected Graphs with Zero Euler Characteristic Having All Branching Points Fixed (1999) (3)
On the polynomial integrability of the Hoyer systems (2013) (3)
Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant (2020) (3)
On the Polynomial Solutions of the Polynomial Differential Equations y y′ = a0(x) + a1(x) y + a2(x) y2 + … + an(x) yn (2020) (3)
Invariant Tori Fulfilled by Periodic orbits for Four-Dimensional Differential Systems in the Presence of Resonance (2010) (3)
Local analytic first integrals of planar analytic differential systems (2013) (3)
New doubly-symmetric families of comet-like periodic orbits in the spatial restricted (N + 1)-body problem (2009) (3)
On the periods of a continuous self-map on a graph (2019) (3)
Limit cycles for two classes of control piecewise linear differential systems (2018) (3)
Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 (2006) (3)
Liouvillian integrability of gravitating static isothermal fluid spheres (2014) (3)
Uniform isochronous cubic and quartic centers: Revisited (2017) (3)
Limit cycles from a four-dimensional centre in ℝ m in resonance p : q (2012) (3)
The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles (2017) (3)
Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems (2018) (3)
The dynamics of the relativistic Kepler problem (2020) (3)
The full periodicity kernel for σ maps (1994) (3)
CENTERS FOR GENERALIZED QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS (2017) (3)
On the periodic solutions of a generalized smooth and non-smooth perturbed planar double pendulum with small oscillations (2012) (3)
Periodic solutions for differential systems in R 3 and R 4 (2020) (3)
The Averaging Theory for Computing Periodic Orbits (2015) (3)
New classes of polynomial maps satisfying the real Jacobian conjecture in ℝ 2. (2019) (3)
On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity (2017) (3)
On the Number of Limit cycles for Discontinuous piecewise Linear differential Systems in ℝ2n with Two Zones (2013) (3)
The 3-dimensional cored and logarithm potentials: Periodic orbits (2014) (3)
Limit cycles in Filippov systems having a circle as switching manifold. (2022) (3)
On the periodic orbits of Hamiltonian systems (2010) (3)
Normal forms for almost periodic differential systems (2009) (3)
On the integrability of Hamiltonian systems with d degrees of freedom and homogenous polynomial potential of degree n (2017) (3)
Hopf bifurcation for degenerate singular points of multiplicity 2 n - 1 in dimension 3 (2008) (3)
Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve (2018) (3)
ON THE NUMBER OF N–DIMENSIONAL INVARIANT SPHERES IN POLYNOMIAL VECTOR FIELDS OF C (2011) (3)
First integrals of Darboux type for a family of 3-dimensional Lotka–Volterra systems (2015) (3)
Dynamics of a Competitive Lotka–Volterra Systems in $\mathbb{R}^{3}$ (2020) (3)
The phase portrait of the Hamiltonian system associated to a Pinchuk map. (2018) (3)
Dynamics of the FitzHugh–Nagumo system having invariant algebraic surfaces (2021) (3)
Algebraic invariant curves and first integrals for Riccati polynomial differential systems (2014) (3)
Morphisms and inverse problems for Darboux integrating factors (2013) (3)
Structure of the set of periods for the Lorenz map (1987) (3)
Equilic quadrilateral central configurations (2019) (3)
A NOTE ON THE FIRST INTEGRALS OF THE ABC SYSTEM (2012) (3)
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems (2017) (3)
Bounded polynomial vector fields II (1991) (3)
4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory (2020) (3)
On the centers of cubic polynomial differential systems with four invariant straight lines (2020) (3)
Infinitely many periodic orbits for the rhomboidal five-body problem (2006) (3)
When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space (2016) (3)
A Note on Forced Oscillations in Differential Equations with Jumping Nonlinearities (2015) (3)
On the set of periods for the Morse–Smale diffeomorphisms on the disc with N holes (2013) (3)
On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in R 3 (2020) (3)
Integrability and Limit Cycles via First Integrals (2021) (3)
On the Darboux integrability of Blasius and Falkner–Skan equation (2013) (3)
Homotopy minimal periods of holomorphic maps on surfaces (2009) (3)
Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems (2022) (3)
POLYNOMIAL AND RATIONAL INTEGRABILITY OF POLYNOMIAL HAMILTONIAN SYSTEMS (2012) (3)
The rolling ball problem on the plane revisited (2013) (2)
Zero-Hopf Periodic Orbits for a Rössler Differential System (2020) (2)
On the Global Analytic Integrability of the Belousov–Zhabotinskii System (2008) (2)
Cofactors and equilibria for polynomial vector fields (2014) (2)
Piecewise Bounded Quadratic Systems in the Plane (2016) (2)
Phase portraits for some symmetric Riccati cubic polynomial differential equations (2018) (2)
On the Darboux integrability of the Hindmarsh–Rose burster (2018) (2)
Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium (2020) (2)
Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor (2008) (2)
DARBOUX INTEGRABILITY OF A SIMPLIFIED FRIEDMAN–ROBERTSON–WALKER HAMILTONIAN SYSTEM (2012) (2)
Restricted independence in displacement function for better estimation of cyclicity (2017) (2)
Periodic Solutions for a Class of Non-autonomous Newton Differential Equations (2020) (2)
On the full periodicity kernel for one-dimensional maps (1999) (2)
Integrability of a class of N–dimensional Lotka–Volterra and Kolmogorov systems (2020) (2)
Periodic Structure of Transversal Maps on C P n , H P n and S p × S q (2013) (2)
On the central configurations of the n-body problem (2017) (2)
Limit cycles of piecewise differential equations on the cylinder (2021) (2)
Hopf bifurcation in predator-prey models with an age structured prey (2012) (2)
On topological entropy of transitive triangular maps (2006) (2)
Isochronicity for trivial quintic and septic planar polynomial Hamiltonian systems (2016) (2)
On Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides (2008) (2)
Generalized Weierstrass integrability for the complex differential equations dydx=a(x)y4+b(x)y3+c(x)y2+d(x)y+e(x) (2013) (2)
Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in R+4 (2017) (2)
An analytic estimation for the instability interval near second order resonances in the restricted three-body problem (1994) (2)
A perturbation of the relativistic Kepler problem. (1991) (2)
Periodic solutions and their stability of some higher-order positively homogenous differential equations (2018) (2)
Polynomial Foliations of R 2 (2000) (2)
Preface: To the Memory of Javier Chavarriga (2016) (2)
The cyclicity of the period annulus of a reversible quadratic system (2021) (2)
Periodic orbits of perturbed non-axially symmetric potentials in 1:1:1 and 1:1:2 resonances (2018) (2)
Rational limit cycles of Abel equations (2021) (2)
Centers of weight-homogeneous polynomial vector fields on the plane (2016) (2)
Polynomial differential systems with even degree have no global centers (2021) (2)
On the existence of bi-pyramidal central configurations of the n 2-body problem with an n-gon base (2012) (2)
A sufficient condition for the real Jacobian conjecture in R2 (2021) (2)
Planar Vector Fields with a Given Set of Orbits (2011) (2)
CHORDAL CUBIL SYSTEMS (1989) (2)
$\mathcal{C}^{1}$ SELF-MAPS ON $\mathbb{S}^{n}$, $\mathbb{S}^{n}\times \mathbb{S}^{m}$, $\mathbb{C}$P$^{n}$ AND $\mathbb{H}$P$^{n}$ WITH ALL THEIR PERIODIC ORBITS HYPERBOLIC (2012) (2)
ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION (2015) (2)
Rocard's 1941 Chaotic Relaxation Econometric Oscillator (2022) (2)
Periodic and quasi-periodic orbits for the spatial isosceles Three-Body (2001) (2)
Analytical integrability of the Rikitake system (2010) (2)
LIMIT CYCLES FOR A CLASS OF FOURTH-ORDER AUTONOMOUS DIFFERENTIAL EQUATIONS (2012) (2)
Corrigendum to “On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree” [Nonlinear Anal. 69 (12) (2008) 4461–4469] (2009) (2)
On the extendable regular integrals of the n-body problem (1984) (2)
Dynamics of the Szekeres system (2021) (2)
Darboux theory of integrability for polynomial vector fields on 𝕊n (2018) (2)
Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials (2018) (2)
Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities (2020) (2)
Limit Cycles of Piecewise Smooth Differential Equations on Two Dimensional Torus (2018) (2)
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves (2017) (2)
Phase portraits of the quadratic polynomial Liénard differential systems (2020) (2)
Bridges between the Generalized Sitnikov Family and the Lyapunov Family of Periodic Orbits (1999) (2)
A note on the Dziobek central configurations (2015) (2)
The generalized Sitnikov problem (2002) (2)
Global Structural Stability of Planar Hamiltonian Vector Fields (1995) (2)
Existence of Periodic Solutions for a Class of Second Order Ordinary Differential Equations (2019) (2)
Global dynamics of the Hořava-Lifshitz cosmology in the presence of non-zero cosmological constant in a flat space (2021) (2)
Global phase portraits of a predator–prey system (2022) (2)
On the Dynamics of a Model with Coexistence of Three Attractors: A Point, a Periodic Orbit and a Strange Attractor (2017) (2)
Weierstrass Integrability of Complex Differential Equations (2021) (2)
Integrability of reversible and equivariant quadratic polynomial differential systems in the plane (2019) (2)
Phase portraits of the complex Abel polynomial differential systems (2021) (2)
On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers (2017) (2)
PERIODIC ORBITS IN PREDATOR-PREY SYSTEMS WITH HOLLING FUNCTIONAL RESPONSES (2008) (2)
Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever (2019) (2)
Center cyclicity of a family of quartic polynomial differential system (2016) (2)
Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy (1992) (2)
PERIODS OF CONTINUOUS MAPS ON CLOSED SURFACES (2017) (2)
Periodic orbits for a class ofC1 three-dimensional systems (2007) (2)
Limit cycles of polynomial differential systems bifurcating from the periodic orbits of a linear differential system in R^d (2009) (2)
STABILITY OF PERIODIC SOLUTIONS INLIPSCHITZ SYSTEMS WITH A SMALL PARAMETER (2008) (2)
On the absence of analytic integrability of the Bianchi Class B cosmological models. (2013) (2)
Minimal periods of holomorphic maps on complex tori (2012) (2)
On the periodic solutions of the static, spherically symmetric Einstein-Yang-Mills equations (2012) (2)
Lower bounds for the number of limit cycles in a generalised Rayleigh–Liénard oscillator (2020) (2)
C^1 self-maps on closed manifolds with finitely many periodic points all of them hyperbolic (2016) (2)
Hopf periodic orbits for a ratio--dependent predator--prey model with stage structure (2016) (2)
Limit cycles for fourth-order autonomous differential equations (2012) (2)
Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers (2018) (2)
On the Connection Between Global Centers and Global Injectivity in the Plane (2017) (2)
C^1 self-maps on S^n, S^n S^m, C P^n and H P^n with all their periodic orbits hyperbolic (2012) (2)
Bounded polynomial vector fields in R2 and Rn (2020) (2)
Polynomial and Rational First Integrals for Non–Autonomous Polynomial Hamiltonian Systems (2020) (2)
On the C1 non-integrability of the Belousov-Zhabotinskii system (2011) (2)
On the 16-Hilbert Problem (2015) (2)
Periodic orbits of the two fixed centers problem with a variational gravitational field (2020) (2)
Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term (2021) (2)
Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2 (2016) (2)
Zero-Hopf bifurcation in a predator-prey model (2013) (2)
On the number of fixed points for a continuous map of a finite connected graph (1981) (1)
One{dimensional Topological Dynamics (2007) (1)
Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems (2021) (1)
On the quartic algebraic solutions of quadratic systems (1999) (1)
Global dynamics for the Szekeres system with non-zero cosmological constant (2022) (1)
Periodic solutions for periodic second-order differential equations with variable potentials (2018) (1)
Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point (2020) (1)
PHASE PORTRAITS FOR Z2-SYMMETRIC CUBIC RICCATI POLYNOMIAL DIFFERENTIAL EQUATIONS (2018) (1)
On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom (2012) (1)
Symmetric Periodic Orbits in the Anisotropic Kepler Problem (1983) (1)
Periodic structure of the transversal maps on surfaces (2021) (1)
LIPSCHITZ GENERALIZATION OF MALKIN-LOUD RESULT ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS (2009) (1)
Piecewise linear differential systems with only centers can create limit cycles? (2017) (1)
Configurations of the Topological Indices of the Planar Polynomial Differential Systems of Degree (2, m) (2021) (1)
Bicentric quadrilateral central configurations (2019) (1)
Periodic orbits of a non-autonomous quadratic differential system obtained from third-order differential equations (2012) (1)
LIMIT CYCLES FROM A 4-DIMENSIONAL CENTER IN R m IN RESONANCE p : q (2012) (1)
Phase Portraits of Uniform Isochronous Centers with Homogeneous Nonlinearities (2021) (1)
Invariant Parallels, Invariant Meridians and Limit Cycles of Polynomial Vector Fields on Some 2-Dimensional Algebraic Tori in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upg (2013) (1)
Chordal cubic systems (1989) (1)
Chaos in the hyperbolic restricted 3-body problem. (1995) (1)
Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors (2013) (1)
Negative periodic orbits for graph maps (2006) (1)
Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0 (2021) (1)
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I (2022) (1)
The zero-Hopf bifurcations of a four-dimensional hyperchaotic system (2021) (1)
PHASE PORTRAITS OF LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH HAMILTONIAN FUNCTION OF DEGREE 5 OF THE FORM H = H 1 ( x ) + H 2 ( y ) (2018) (1)
Horseshoe periodic orbits for saturn coorbital satellites (2001) (1)
Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case (2015) (1)
Hilbert's 16th problem. When variational principles meet differential systems (2014) (1)
DARBOUX INTEGRABILITY OF POLYNOMIAL DIFFERENTIAL SYSTEMS IN R (2015) (1)
Planar Kolmogorov Systems Coming from Spatial Lotka-Volterra Systems (2021) (1)
THE GENERALIZED VAN DEL WAALS HAMILTONIAN: PERIODIC ORBITS AND C1 NON–INTEGRABILITY (2011) (1)
C 1 SELF-MAPS ON CLOSED MANIFOLDS WITH ALL THEIR PERIODIC POINTS HYPERBOLIC (2015) (1)
Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. (2021) (1)
Capture/Escape Boundary in the Collinear Restricted Three-Body Problem (1983) (1)
Synchronization and Non-Smooth Dynamical Systems (2012) (1)
Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system (2021) (1)
Generation of Symmetric Periodic orbits by a heteroclinic Loop formed by Two Singular Points and their Invariant Manifolds of Dimensions 1 and 2 in R3 (2007) (1)
The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed (2004) (1)
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers (2015) (1)
On the periodic solutions of perturbed 4D non-resonant systems (2015) (1)
Flow curvature manifold and energy of generalized Liénard systems (2022) (1)
Periodic solutions for a class of Duffing differential equations (2019) (1)
Periodic solutions of Lienard differential equations via averaging theory of order two. (2015) (1)
An upper bound of the index of an equilibrium point in the plane (2012) (1)
On the periodic orbits of the Contopoulos Hamiltonian (1983) (1)
On the Spatial Elliptic restricted three-body problem (1990) (1)
On the polynomial vector fields on $\mathbb{S}^2$ (2011) (1)
Discussion on the limit cycles of the Lev Ginzburg equation by M. Bellamy and R.E. Mickens, Journal of Sound and Vibration 308 (2007) 337–342 (2012) (1)
The Neighborhood of the Halo Orbits: Numerical Study and Applications (2001) (1)
On a conjecture on the integrability of Liénard systems (2020) (1)
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries (2023) (1)
Weierstrass integrability for a class of differential systems (2014) (1)
Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \begin{document}$ H = H_1(x)+H_2(y)$\end{document} (2019) (1)
Erratum to “Periodic orbits of the planar collision restricted 3-body problem” (2007) (1)
Qualitative study of a model with Rastall gravity (2020) (1)
Orbitally universal centers (2020) (1)
Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line (2019) (1)
Rational first integrals of the Liénard equations: The solution to the Poincaré problem for the Liénard equations. (2021) (1)
Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates (2020) (1)
Nonintegrability of a class of the Bianchi V I0 and V II0 models (2010) (1)
On the limit cycles of the floquet differential equation (2014) (1)
Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine (2018) (1)
Two{dimensional Topological Dynamics (2007) (1)
Infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom (2000) (1)
Periodic Orbits of Quantised Restricted Three-Body Problem (2023) (1)
Hopf bifurcation in the Holling-Tanner model (2011) (1)
On the polynomial differential systems having polynomial first integrals (2012) (1)
An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems (2019) (1)
No periodic orbits for the type A Bianchi's systems (2015) (1)
On the equilateral pentagonal central configurations (2022) (1)
Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones (2020) (1)
Centers of planar generalized Abel equations (2020) (1)
Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations (2014) (1)
On the parameter dependence of the real cubic surfaces in arnold’s form (2004) (1)
Periods of continuous mapson closed surfaces (2017) (1)
On the integrability of the Hamiltonian systems with homogeneous polynomial potentials (2018) (1)
Limit cycles of linear vector fields on manifolds (2016) (1)
Entropy and periods for continuous graph maps (2021) (1)
Periodic solutions of some classes of continuous second-order differential equations (2016) (1)
On topological entropy, Lefschetz numbers and Lefschetz zeta functions (2019) (1)
Periodic Solutions for Some Systems of Delay Differential Equations (2006) (1)
On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems (2020) (1)
CYCLICITY OF (1, 3)-SWITCHING FF TYPE EQUILIBRIA (2019) (1)
Darboux integrability and algebraic limit cycles for a class of polynomial differential systems (2014) (1)
C1 SELF–MAPS ON S, S × S, CP AND HP WITH ALL THEIR PERIODIC ORBITS HYPERBOLIC (2015) (1)
The improved Euler–Jacobi formula and the planar cubic polynomial vector fields in ℝ2 (2022) (1)
Topological entropy of continuous self-maps on a graph (2019) (1)
Global qualitative dynamics of the Brusselator system (2020) (1)
FOR A CLASS OF CONTINUOUS AND DISCONTINUOUS CUBIC POLYNOMIAL DIFFERENTIAL SYSTEMS (2014) (1)
Complete integrability of vector fields in RN (2021) (1)
Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory (2016) (1)
Phase portraits of the Higgins–Selkov system (2021) (1)
Liouvillian first integrals for quadratic systems with an integrable saddle (2015) (1)
Reduction of periodic difference systems to linear or autonomous ones (2013) (1)
Analytic integrability of a class of planar polynomial differential systems (2015) (1)
The rolling ball problem on the sphere (2012) (1)
Tangential Trapezoid Central Configurations (2020) (1)
Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree $d\geq 7$ odd (2010) (1)
Area Preserving Flows on Compact Connected Surfaces (1999) (1)
Periodic orbits for real planar polynomial vector fields of degree $n$ having $n$ invariant straight lines taking into account their multiplicities (2015) (1)
On the periodic solutions of a generalized smooth or non-smooth perturbed planar double pendulum (2012) (1)
Invariant Algebraic Surfaces of Polynomial Vector Fields in Dimension Three (2019) (1)
Darboux polynomials, balances and Painlevé property (2017) (1)
New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree (2019) (1)
On the number of periodic orbits of continuous mappings of the interval (1981) (1)
N-Dimensional Zero-Hopf Bifurcation of Polynomial Differential Systems via Averaging Theory of Second Order (2020) (1)
Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations (2022) (1)
Periodic orbits of the two fixed centers problem with a variational gravitational field (2020) (1)
On the Darboux Integrability of Polynomial Differential Systems (2011) (1)
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A note on planar real Cremona transformations (1982) (0)
Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin (2019) (0)
Periodic Orbits Near Homoclinic Orbits (1982) (0)
Periods of holomorphic maps on compact Riemann surfaces and product of spheres (2020) (0)
A survey on the Kovalevskaya exponents and their applications (2021) (0)
Characterization of the kukles polynomial differential systems having an invariant algebraic curve (2022) (0)
Other Cases and Further Simulations (2001) (0)
Generalized Weierstrass Integrability of the Abel Differential Equations (2013) (0)
Periods of Morse–Smale diffeomorphisms on $${\mathbb {S}}^n$$, $${\mathbb {S}}^m \times {\mathbb {S}}^n$$, $${\mathbb {C}}{\mathbf{P }}^n$$ and $${\mathbb {H}}{\mathbf{P }}^n$$ (2021) (0)
Singularities of polynomial differential systems (2021) (0)
ERRATUM TO "MINIMAL PERIODS OF HOLOMORPHIC MAPS ON COMPLEX TORI" (J. DIFFERENCE EQU. APPL. 18 (2012) 2059-2068) (2013) (0)
Qualitative Behaviour of the Flow of the n-Body Problem in Zero Energy Level (1996) (0)
Cyclicity of \begin{document}$ (1,3) $\end{document}-switching FF type equilibria (2019) (0)
Hamiltonian systems and celestial mechanics (HAMSYS-98) : proceedings of the III International Symposium, Pȧtzcuaro, Michoacȧn, México, 7-11 December 1998 (2000) (0)
THE ROLE OF THE MULTIPLE ZEROS IN THE AVERAGING THEORY OF DIFFERENTIAL EQUATIONS (2018) (0)
First Integrals and Phase Portraits of Planar Polynomial Differential Cubic Systems with the Maximum Number of Invariant Straight Lines (2016) (0)
Preface: To the Memory of Javier Chavarriga (2016) (0)
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field (2022) (0)
Lie algebras of vector fields : a survey (2010) (0)
Introduction: Libration Points and Station Keeping (2001) (0)
Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers (2023) (0)
An inverse approach to the center problem (2018) (0)
Periodic solutions and their stability for some perturbed Hamiltonian systems (2020) (0)
Global Configurations of Singularities for Quadratic Differential Systems with Total Finite Multiplicity Three and at Most Two Real Singularities (2014) (0)
Hamiltonian Systems and Celestial Mechanics ( 15 w 5010 ) September 6-11 , 2015 CMO-BIRS Workshop (2015) (0)
Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in ℝ 3 (2021) (0)
Periodic orbits Near a heteroclinic Loop formed by One-Dimensional Orbit and a Two-Dimensional Manifold: Application to the charged Collinear Three-Body Problem (2007) (0)
Global dynamics of the Benoît system (2013) (0)
Spatial Convex but Non-strictly Convex Double-Pyramidal Central Configurations of the $$(2n+2)$$-Body Problem (2019) (0)

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