Jaume Llibre
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Spanish mathematician
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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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(Suggest an Edit or Addition)Jaume Llibre's Published Works
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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)
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- Crossing Limit Cycles of Planar Piecewise Linear Hamiltonian Systems without Equilibrium Points (2020) (11)
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- 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)
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- 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)
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- 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)
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- Large amplitude oscillations for a class of symmetric polynomial differential systems in R (2007) (8)
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- Linear estimate for the number of limit cycles of a perturbed cubic polynomial differential system (2009) (8)
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- Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields (2019) (8)
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- A new qualitative proof of a result on the real Jacobian conjecture. (2015) (8)
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- Structurally Stable Quadratic Foliations (2008) (7)
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- Inverse Problems in Darboux’ Theory of Integrability (2012) (7)
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- Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems (2015) (5)
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- 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)
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- 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)
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- On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium (2017) (5)
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- New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System (2019) (5)
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- 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)
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- Global dynamics of a Lotka–Volterra system in ℝ3 (2020) (5)
- Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model (2018) (5)
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- Limit Cycles for a Class of Three-Dimensional Polynomial Differential Systems (2007) (5)
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- 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)
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- 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)
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- 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)
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- 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)
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- Zero-Hopf Periodic Orbit of a Quadratic System of Differential Equations Obtained from a Third-Order Differential Equation (2017) (0)
- On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system (2016) (0)
- N-Dimensional Zero-Hopf Bifurcation of Polynomial Differential Systems via Averaging Theory of Second Order (2020) (0)
- Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals (2017) (0)
- Zero–Hopf bifurcation in a hyperchaotic Lorenz system (2013) (0)
- Polynomial Liénard systems with a nilpotent global center (2022) (0)
- On the Integrability of a Four-Prototype Rössler System (2023) (0)
- On the central configurations in the spatial 5-body problem with four equal masses (2016) (0)
- Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems (2014) (0)
- Limit Cycles of a Class of Generalized Liénard Polynomial Equations (2014) (0)
- A new approach to the vakonomic mechanics (2014) (0)
- Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system (2021) (0)
- On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system (2015) (0)
- New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree (2019) (0)
- On the Dynamics of a Model with Coexistence of Three Attractors: A Point, a Periodic Orbit and a Strange Attractor (2017) (0)
- New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System (2019) (0)
- Darboux integrability and algebraic limit cycles for a class of polynomial differential systems (2014) (0)
- Nonintegrabilty of a Halphen system (2014) (0)
- ON THE POLYNOMIAL VECTOR FIELDS ON S (2015) (0)
- Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry (2015) (0)
- New family of cubic Hamiltonian centers (2016) (0)
- Maximum number of limit cycles for certain piecewise linear dynamical systems (2015) (0)
- Periodic motion in perturbed elliptic oscillators revisited (2016) (0)
- Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential (2012) (0)
- Tangential Trapezoid Central Configurations (2020) (0)
- On the periods of a continuous self-map on a graph (2019) (0)
- Numerical Simulations of the Motion in an Extended Neighborhood of the Triangular Libration Points in the Earth–Moon System (2001) (0)
- On some particular solutions of the n-body problem (2009) (0)
- Dynamics of two Einstein–Friedmann cosmological models (2021) (0)
- Transcritical and zero-Hopf bifurcations in the Genesio system (2016) (0)
- Integrability of the constrained rigid body (2013) (0)
- Global dynamics of Hořava–Lifshitz cosmology with non-zero curvature and a wide range of potentials (2020) (0)
- The foliation of the phase space for the 3-dimensional Kepler problem [Microforma] (1999) (0)
- Piecewise linear differential systems without equilibria produce limit cycles? (2016) (0)
- Canards Existence in Memristor’s Circuits (2015) (0)
- ON THE NON-INTEGRABILTY OF A HALPHEN SYSTEM (2015) (0)
- Global dynamics of a SD oscillator (2017) (0)
- Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers (2021) (0)
- Periodic orbits and non integrability of autonomous Glydén‐like systems (2010) (0)
- Global dynamics of a virus model with invariant algebraic surfaces (2019) (0)
- The symmetric periodic orbits for the two-electron atom (2018) (0)
- Minimal set of periods for continuous self-maps of the eight space (2021) (0)
- Synchronization and Non-Smooth Dynamical Systems (2012) (0)
- 2-Dimensional invariant tori for the spatial isosceles 3-body problem (2000) (0)
- Heteroclinic orbits for a class of hamiltonian systems on riemannian manifolds (2010) (0)
- Convex Central Configurations of the 4-Body Problem with Two Pairs of Equal Adjacent Masses (2017) (0)
- Bifurcations from nondegenerate families of periodic solutions (2009) (0)
- On the Global Nilpotent Centers of Cubic Polynomial Hamiltonian Systems (2022) (0)
- 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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