# Clàudia Valls

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Spanish mathematician and researcher

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Clàudia Vallsmathematics Degrees

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Group Theory

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Mathematics

## Clàudia Valls's Degrees

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

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## Why Is Clàudia Valls Influential?

(Suggest an Edit or Addition)According to Wikipedia, Clàudia Valls Anglés is a mathematician and an expert in dynamical systems. She is an associate professor in the Instituto Superior Técnico of the University of Lisbon in Portugal. Education Valls completed a doctorate at the University of Barcelona in 1999. Her dissertation, The Classical Arnold Example of Diffusion with Two Equal Parameters, was supervised by .

## Clàudia Valls's Published Works

### Published Works

- Stability Of Nonautonomous Differential Equations (2007) (237)
- Robustness of nonuniform exponential dichotomies in Banach spaces (2008) (73)
- Polynomial growth rates (2009) (70)
- A Grobman-Hartman theorem for nonuniformly hyperbolic dynamics (2006) (55)
- Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems (2011) (52)
- Stability theory and Lyapunov regularity (2007) (50)
- Stable manifolds for nonautonomous equations without exponential dichotomy (2006) (50)
- Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry (2015) (42)
- Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields (2014) (37)
- Integrability of the Bianchi IX system (2005) (37)
- 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)
- Nonuniform exponential dichotomies and admissibility (2011) (34)
- Growth rates and nonuniform hyperbolicity (2008) (34)
- Nonuniform Exponential Dichotomies and Lyapunov Regularity (2006) (34)
- Admissibility for nonuniform exponential contractions (2010) (33)
- Global analytic first integrals for the real planar Lotka-Volterra system (2007) (32)
- A Formal Approximation of the Splitting of Separatrices in the Classical Arnold's Example of Diffusi (2001) (32)
- Smoothness of Invariant Manifolds for Nonautonomous Equations (2005) (31)
- Hölder Grobman-Hartman linearization (2007) (30)
- Irregular sets are residual (2014) (29)
- Rikitake system: analytic and Darbouxian integrals (2005) (28)
- On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system (2015) (28)
- Lyapunov sequences for exponential dichotomies (2009) (26)
- Stability of nonautonomous differential equations in Hilbert spaces (2005) (25)
- Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields (2014) (24)
- On the number of limit cycles of a class of polynomial differential systems (2012) (24)
- Robustness of nonuniform polynomial dichotomies for difference equations (2011) (24)
- Lyapunov Functions for General Nonuniform Dichotomies (2013) (24)
- Conjugacies for linear and nonlinear perturbations of nonuniform behavior (2007) (24)
- On the dynamics of the Rayleigh–Duffing oscillator (2019) (23)
- Robustness of general dichotomies (2009) (23)
- Invariant Algebraic Surfaces for Generalized Raychaudhuri Equations (2011) (23)
- Nonuniform Hyperbolicity and Admissibility (2014) (22)
- Robustness of nonuniform exponential trichotomies in Banach spaces (2009) (22)
- Liouvillian first integrals for Liénard polynomial differential systems (2010) (22)
- Smooth center manifolds for nonuniformly partially hyperbolic trajectories (2007) (21)
- Lyapunov regularity of impulsive differential equations (2010) (21)
- Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems (2013) (21)
- Robustness of nonuniform dichotomies with different growth rates (2011) (21)
- Quadratic Lyapunov functions and nonuniform exponential dichotomies (2009) (21)
- Admissibility and Hyperbolicity (2018) (20)
- Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems (2009) (20)
- Centers for the Kukles homogeneous systems with odd degree (2015) (19)
- Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems (2009) (18)
- Classification of the centers and isochronous centers for a class of quartic-like systems (2009) (18)
- Formal and analytic integrability of the Lorenz system (2005) (18)
- Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields (2015) (17)
- PERIODIC SOLUTIONS OF A GALACTIC POTENTIAL (2014) (17)
- Hopf bifurcation for some analytic differential systems in R^3 via averaging theory (2011) (17)
- On the integrability of the Einstein–Yang–Mills equations (2007) (17)
- Admissibility on the half line for evolution families (2017) (17)
- A simple proof of the GrobmanHartman theorem for nonuniformly hyperbolic flows (2011) (17)
- Polynomial First integrals for the Chen and Lü Systems (2012) (17)
- Basic theory (2019) (17)
- Nonuniform behavior and robustness (2009) (17)
- Darboux integrability of the Lü system (2013) (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)
- Phase portraits of the two-body problem with Manev potential (2001) (16)
- Algebraic traveling waves for the generalized Newell–Whitehead–Segel equation (2017) (16)
- Stability in delay difference equations with nonuniform exponential behavior (2007) (16)
- Liouvillian integrability of a general Rayleigh-Duffing oscillator (2019) (16)
- Robustness for impulsive equations (2010) (15)
- A Grobman–Hartman theorem for general nonuniform exponential dichotomies☆ (2009) (15)
- Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4 (2011) (15)
- Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree (2011) (15)
- Hyperbolic Sequences of Linear Operators and Evolution Maps (2016) (15)
- Center manifolds for nonuniformly partially hyperbolic diffeomorphisms (2005) (15)
- The Completely Integrable Differential Systems are Essentially Linear Differential Systems (2015) (14)
- Formal and Analytic Integrability of the Rossler System (2007) (14)
- Centers for the Kukles homogeneous systems with even degree (2017) (14)
- Strong and weak (Lp,Lq)-admissibility☆ (2014) (14)
- Lyapunov functions for trichotomies with growth rates (2010) (14)
- Ordinary Differential Equations: Qualitative Theory (2012) (14)
- From one-sided dichotomies to two-sided dichotomies (2015) (14)
- Tempered exponential dichotomies: admissibility and stability under perturbations (2016) (13)
- Analytic first integrals of the FitzHugh – Nagumo systems (2009) (13)
- Analytic non-integrability of the Suslov problem (2012) (13)
- Darboux integrability of generalized Yang–Mills Hamiltonian system (2016) (13)
- Quasiperiodic Solutions for Dissipative Boussinesq Systems (2006) (13)
- Stable Manifolds for Impulsive Equations Under Nonuniform Hyperbolicity (2010) (13)
- Existence of stable manifolds for nonuniformly hyperbolic $c^1$ dynamics (2006) (13)
- Formal and analytical integrability of the Bianchi IX system (2006) (13)
- Nonuniform hyperbolicity and one-sided admissibility (2016) (12)
- Integrability of the Nosé–Hoover equation (2011) (12)
- Limit cycles for a generalization of polynomial Liénard differential systems (2013) (12)
- Topological entropy of irregular sets (2018) (12)
- Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy (2006) (12)
- On the local analytic integrability at the singular point of a class of Liénard analytic differential systems (2010) (12)
- Analytic integrability of quadratic–linear polynomial differential systems (2009) (12)
- Darboux integrability and algebraic invariant surfaces for the Rikitake system (2008) (12)
- Lyapunov sequences for exponential trichotomies (2010) (12)
- Irregular sets of two-sided Birkhoff averages and hyperbolic sets (2016) (12)
- Parameter dependence of stable manifolds under nonuniform hyperbolicity (2009) (12)
- Nonuniform spectrum on Banach spaces (2017) (12)
- Parameter dependence of stable manifolds for difference equations (2010) (11)
- Integrability conditions of a resonant saddle in Liénard-like complex systems (2016) (11)
- Dynamical Systems: An Introduction (2012) (11)
- Robust nonuniform dichotomies and parameter dependence (2011) (11)
- On the Number of Limit cycles for a Generalization of LiéNard Polynomial differential Systems (2013) (11)
- Centers and Isochronous Centers for Two Classes of Generalized Seventh and Ninth Systems (2010) (11)
- On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations (2020) (11)
- Exponential dichotomies with respect to a sequence of norms and admissibility (2014) (11)
- Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree − 3 (2011) (11)
- Smooth robustness of exponential dichotomies (2011) (11)
- On the global dynamics of the Newell–Whitehead system (2019) (11)
- Integrability of the Rucklidge system (2014) (11)
- Formal and analytic first integrals of the Einstein–Yang–Mills equations (2005) (11)
- Center problem in the center manifold for quadratic differential systems in R3 (2016) (10)
- Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3 (2014) (10)
- Invariant Manifolds for Impulsive Equations and Nonuniform Polynomial Dichotomies (2010) (10)
- Nonuniform exponential contractions and Lyapunov sequences (2009) (10)
- Liouvillian integrability of the FitzHugh–Nagumo systems (2010) (10)
- On the analytic integrability of the Liénard analytic differential systems (2015) (10)
- Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities (2015) (10)
- On the C1 non-integrability of differential systems via periodic orbits (2011) (10)
- A Perron-type theorem for nonautonomous differential equations (2015) (10)
- Lyapunov Functions and Cone Families (2012) (10)
- Reversibility and equivariance in center manifolds of nonautonomous dynamics (2007) (10)
- ON THE INTEGRABILITY OF A MUTHUSWAMY–CHUA SYSTEM (2012) (10)
- Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers (2018) (10)
- Robustness via Lyapunov functions (2009) (10)
- Global analytic integrability of the Rabinovich system (2008) (9)
- The Co-circular Central Configurations of the $$5$$5-Body Problem (2015) (9)
- Generalized Weierstrass Integrability of the Abel Differential Equations (2013) (9)
- Multifractal Structure of Two-Dimensional Horseshoes (2006) (9)
- Two Limit Cycles in Liénard Piecewise Linear Differential Systems (2018) (9)
- Integrability and limit cycles of the Moon–Rand system (2015) (9)
- Dynamics of the Higgins–Selkov and Selkov systems (2018) (9)
- Stable invariant manifolds for parabolic dynamics (2009) (9)
- Liouvillian first integrals of quadratic–linear polynomial differential systems (2011) (8)
- Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree −2 (2011) (8)
- Nondegenerate centers for Abel polynomial differential equations of second kind (2017) (8)
- Invariant algebraic surfaces for a virus dynamics (2015) (8)
- The three-dimensional center problem for the zero-Hopf singularity (2015) (8)
- Analytic first integrals of the Halphen system (2006) (8)
- Lyapunov regularity via singular values (2017) (8)
- Stable manifolds for delay equations and parameter dependence (2012) (8)
- Invariant algebraic surfaces and algebraic first integrals of the Maxwell–Bloch system (2019) (8)
- Parameter Dependence of Stable Manifolds for Delay Equations with Polynomial Dichotomies (2012) (8)
- Stability of delay equations via Lyapunov functions (2010) (8)
- Robustness of Discrete Dynamics via Lyapunov Sequences (2009) (8)
- Integrability and zero-Hopf bifurcation in the Sprott A system (2020) (8)
- Conjugacies between linear and nonlinear non-uniform contractions (2008) (8)
- Darbouxian integrals for generalized Raychaudhuri equations (2011) (8)
- Irregular sets for ratios of Birkhoff averages are residual (2014) (8)
- Nonlinear oscillations in the modified Leslie–Gower model (2020) (8)
- Noninvertible cocycles: Robustness of exponential dichotomies (2012) (8)
- NONUNIFORM EXPONENTIAL BEHAVIOR VIA EVOLUTION SEMIGROUPS (2019) (7)
- Lyapunov functions for strong exponential contractions (2013) (7)
- On the global dynamics of a finance model (2018) (7)
- The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3 (2020) (7)
- Limit cycles bifurcating of Kolmogorov systems in R2 and in R3 (2020) (7)
- Center problem in the center manifold for quadratic and cubic differential systems in R3 (2015) (7)
- Existence of nonuniform exponential dichotomies and a Fredholm alternative (2009) (7)
- HAMILTONIAN NON-DEGENERATE CENTERS OF LINEAR PLUS CUBIC HOMOGENEOUS POLYNOMIAL (2014) (7)
- Center problem for trigonometric Liénard systems (2017) (7)
- On the double pendulum: An example of double resonant situations (2004) (7)
- Lyapunov functions for strong exponential dichotomies (2013) (7)
- Limit cycles bifurcating from a zero–Hopf singularity in arbitrary dimension (2018) (7)
- Periodic Orbits near equilibria (2010) (7)
- Smooth robustness of parameterized perturbations of exponential dichotomies (2010) (7)
- Tempered exponential dichotomies and Lyapunov exponents for perturbations (2016) (7)
- Existence of quasi-periodic solutions for elliptic equations on a cylindrical domain (2006) (7)
- The Bianchi VIII model is neither global analytic nor Darboux integrable (2010) (7)
- Characterization of nonuniform exponential trichotomies for flows (2016) (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)
- LIOUVILLIAN AND ANALYTIC FIRST INTEGRALS FOR THE BRUSSELATOR SYSTEM (2012) (7)
- Qualitative study of a charged restricted three-body problem (2013) (7)
- Characterization of strong exponential dichotomies (2015) (7)
- On the Darboux integrability of a three–dimensional forced–damped differential system (2017) (7)
- Integrability of a SIS model (2008) (6)
- Wigner measures and quantum Aubry-Mather theory (2007) (6)
- The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. (2021) (6)
- Hölder conjugacies for random dynamical systems (2006) (6)
- Center manifolds for non-uniformly partially hyperbolic trajectories (2006) (6)
- Puiseux Integrability of Differential Equations (2022) (6)
- Rational integrability of a nonlinear finance system (2012) (6)
- Qualitative analysis of the anisotropic two-body problem with generalized Lennard-Jones potential (2012) (6)
- Phase portraits of quadratic Lotka–Volterra systems with a Darboux invariant in the Poincaré disc (2014) (6)
- The Boussinesq system:dynamics on the center manifold (2005) (6)
- Quadratic Lyapunov sequences and arbitrary growth rates (2009) (6)
- Chaotic Behavior of a Generalized Sprott E Differential System (2016) (6)
- Liouvillian Integrability Versus Darboux Polynomials (2016) (6)
- Characterization of stable manifolds for nonuniform exponential dichotomies (2008) (6)
- Nonuniform Spectrum on the Half Line and Perturbations (2017) (6)
- The Michelson system is neither global analytic, nor Darboux integrable (2010) (6)
- Relations between regularity coefficients (2017) (6)
- Simultaneity of centres in ℤq-equivariant systems (2018) (6)
- The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem (2021) (5)
- Conservation Laws in Biochemical Reaction Networks (2017) (5)
- A Perron-type theorem for nonautonomous difference equations (2013) (5)
- Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems (2015) (5)
- Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model (2018) (5)
- Complete characterization of algebraic traveling wave solutions for the Boussinesq, Klein–Gordon and Benjamin–Bona–Mahony equations (2017) (5)
- New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System (2019) (5)
- On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems (2020) (5)
- Periodic solutions of linear, Riccati, and Abel dynamic equations (2019) (5)
- Liouvillian and analytic integrability of the quadratic vector fields having an invariant ellipse (2014) (5)
- Dependence of Topological Conjugacies on Parameters (2010) (5)
- Robustness of noninvertible dichotomies (2015) (5)
- Centers for a class of generalized quintic polynomial differential systems (2014) (5)
- The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems (2020) (5)
- Hyperbolicity via admissibility in delay equations (2020) (5)
- Higher regularity of invariant manifolds for nonautonomous equations (2005) (5)
- On the analytic integrability of the cored galactic Hamiltonian (2014) (5)
- Center manifolds for infinite delay (2009) (5)
- On the global dynamics of a three-dimensional forced-damped differential system (2020) (5)
- Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system (2013) (5)
- Stable invariant manifolds for delay equations with piecewise constant argument (2018) (5)
- Periodic solutions and invariant torus in the Rössler system (2019) (5)
- On the dynamics of the Szekeres system (2019) (5)
- Hyperbolicity in Delay Equations (2021) (5)
- Global dynamics of a Lotka–Volterra system in ℝ3 (2020) (5)
- Center Manifolds Optimal Regularity for Nonuniformly Hyperbolic Dynamics (2011) (5)
- Darboux integrability of a nonlinear financial system (2011) (5)
- Hopf bifurcation of a generalized Moon-Rand system (2015) (5)
- Liouvillian first integrals for a class of generalized Liénard polynomial differential systems (2016) (5)
- Centers and isochronous centers for generalized quintic systems (2015) (5)
- Analytic integrability of a Chua system (2008) (5)
- On the Darboux integrability of the Painlevé II equations (2015) (4)
- Linear type global centers of linear systems with cubic homogeneous nonlinearities (2019) (4)
- Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential (2019) (4)
- Algebraic Limit Cycles on Quadratic Polynomial Differential Systems (2017) (4)
- Asymptotic behavior of distribution of frequencies of digits (2008) (4)
- Complex Analysis and Differential Equations (2012) (4)
- Analytic integrability of Hamiltonian systems with exceptional potentials (2015) (4)
- GLOBAL ANALYTIC FIRST INTEGRALS FOR THE SIMPLIFIED MULTISTRAIN/TWO-STREAM MODEL FOR TUBERCULOSIS AND DENGUE FEVER (2009) (4)
- Nonautonomous equations with arbitrary growth rates: A Perron-type theorem (2012) (4)
- Conjugacies and invariant manifolds via evolution semigroups (2019) (4)
- Limit cycles for a variant of a generalized Riccati equation (2017) (4)
- Transformations preserving the Lyapunov exponents (2017) (4)
- Rational Limit Cycles on Abel Polynomial Equations (2020) (4)
- Invariant algebraic surfaces for the reduced three-wave interaction system (2011) (4)
- On the Anisotropic Potentials of Manev-Schwarzschild Type (2010) (4)
- Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries (2018) (4)
- Smooth stable invariant manifolds and arbitrary growth rates (2010) (4)
- Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles (2021) (4)
- Characterization of Nonuniform Contractions and Expansions with Growth Rates (2016) (4)
- Normal forms via nonuniform hyperbolicity (2019) (4)
- EXISTENCE OF CONJUGACIES AND STABLE MANIFOLDS VIA SUSPENSIONS (2017) (4)
- Periodic orbits of the planar anisotropic generalized Kepler problem (2019) (4)
- On the non-integrability of a generalized Darboux Halphen system (2006) (4)
- Algebraic traveling waves for the generalized viscous Burgers equation (2018) (4)
- Centers for a 6-parameter family of polynomial vector fields of arbitrary degree (2008) (4)
- The generalized polynomial Moon–Rand system (2018) (4)
- Low-Dimensional Dynamics (2019) (4)
- Center manifolds for impulsive equations under nonuniform hyperbolicity (2011) (4)
- On the polynomial integrability of Kirchoff’s equations (2012) (4)
- Nonautonomous difference equations and a Perron-type theorem (2012) (4)
- Full shifts and irregular sets (2012) (4)
- Center manifolds for nonuniform trichotomies and arbitrary growth rates (2010) (4)
- Stability of dichotomies in difference equations with infinite delay (2010) (3)
- Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve (2018) (3)
- On the Darboux integrability of Blasius and Falkner–Skan equation (2013) (3)
- Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems (2017) (3)
- Admissibility and nonuniform exponential trichotomies (2015) (3)
- Integral stable manifolds in Banach spaces (2008) (3)
- On the integrability of Hamiltonian systems with d degrees of freedom and homogenous polynomial potential of degree n (2017) (3)
- Limit cycles from a four-dimensional centre in ℝ m in resonance p : q (2012) (3)
- Positive top Lyapunov exponent via invariant cones: Single trajectories (2015) (3)
- Lyapunov’s coefficient of regularity and nonuniform hyperbolicity (2016) (3)
- CENTERS FOR GENERALIZED QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS (2017) (3)
- On the global dynamics and integrability of the Chemostat system (2020) (3)
- Highest weak focus order for trigonometric Liénard equations (2019) (3)
- The Liouvillian Integrability of Several Oscillators (2019) (3)
- Reversibility and equivariance in center manifolds (2008) (3)
- One-Sided Hyperbolicity via Evolution Maps (2020) (3)
- Rational limit cycles on Bernoulli and Riccati equations (2020) (3)
- Robustness for Stable Impulsive Equations via Quadratic Lyapunov Functions (2016) (3)
- Evolution families and nonuniform spectrum (2016) (3)
- Polynomial Solutions of Equivariant Polynomial Abel Differential Equations (2017) (3)
- On the polynomial integrability of the Hoyer systems (2013) (3)
- On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity (2017) (3)
- A NOTE ON THE FIRST INTEGRALS OF THE ABC SYSTEM (2012) (3)
- Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems (2020) (3)
- Optimal estimates along stable manifolds of non-uniformly hyperbolic dynamics (2008) (3)
- Tempered exponential behavior for a dynamics in upper triangular form (2018) (3)
- On two notions of exponential dichotomy (2018) (3)
- Stability of the Lyapunov exponents under perturbations (2017) (3)
- Algebraic invariant curves and first integrals for Riccati polynomial differential systems (2014) (3)
- Stable manifolds with optimal regularity for difference equations (2012) (3)
- Analytic first integrals for generalized Raychaudhuri equations (2011) (3)
- First integrals of Darboux type for a family of 3-dimensional Lotka–Volterra systems (2015) (3)
- Nonuniform exponential dichotomies and Lyapunov functions (2017) (3)
- On the Darboux integrability of a cubic CRN model in R5 (2016) (3)
- Integrability conditions for complex kukles systems (2017) (3)
- Local analytic first integrals of planar analytic differential systems (2013) (3)
- Integrability of the Hide--Skeldon--Acheson dynamo (2014) (3)
- Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations (2017) (3)
- The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles (2017) (3)
- On the Singularities of the Planar Cubic Polynomial Differential Systems and the Euler Jacobi Formula (2020) (3)
- Algebraic travelling waves for the generalized Burgers-Fisher equation (2018) (3)
- Lyapunov type characterization of hyperbolic behavior (2017) (3)
- Admissibility for exponential dichotomies in average (2015) (3)
- Regularity of Invariant Manifolds for Nonuniformly Hyperbolic Dynamics (2008) (3)
- Optimal regularity of robustness for parameterized perturbations (2010) (3)
- Smooth linearization under nonuniform hyperbolicity (2021) (3)
- Geometry, integrability and bifurcation diagrams of a family of quadratic differential systems as application of the Darboux theory of integrability (2021) (3)
- Liouvillian Integrability of a Modified Michaelis-Menten Equation (2013) (3)
- Perturbations of delay equations (2020) (3)
- Admissibility and nonuniformly hyperbolic sets (2014) (3)
- Integrability of a nuclear spin generator (2011) (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)
- Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term (2021) (2)
- On the Liouville integrability of Edelstein’s reaction system in R3 (2018) (2)
- On the C1 non-integrability of the Belousov-Zhabotinskii system (2011) (2)
- On the Darboux integrability of the Hindmarsh–Rose burster (2018) (2)
- On the Dynamics of a Model with Coexistence of Three Attractors: A Point, a Periodic Orbit and a Strange Attractor (2017) (2)
- Strong nonuniform spectrum for arbitrary growth rates (2017) (2)
- Analytical integrability of the Rikitake system (2010) (2)
- Rational limit cycles on generalized Bernouilli polynomial equations (2021) (2)
- Stable Manifolds and Nonuniform Hyperbolicity: Optimal Estimates (2013) (2)
- Integrability of reversible and equivariant quadratic polynomial differential systems in the plane (2019) (2)
- Bounded polynomial vector fields in R2 and Rn (2020) (2)
- Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities (2020) (2)
- Nonuniform exponential dichotomies and Fredholm operators for flows (2017) (2)
- Classification of Invariant Algebraic Curves and Nonexistence of Algebraic Limit Cycles in Quadratic Systems from Family (I) of the Chinese Classification (2020) (2)
- Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever (2019) (2)
- On Centered Co-circular Central Configurations of the n-Body Problem (2018) (2)
- On the quasi-periodic solutions of generalized Kaup systems (2014) (2)
- Nonautonomous Dynamics with Discrete Time and Topological Equivalence (2016) (2)
- Stable manifolds for perturbations of exponential dichotomies in mean (2017) (2)
- Dynamics of the Szekeres system (2021) (2)
- Admissibility and nonuniform exponential trichotomies (2015) (2)
- Ordinary Differential Equations (2012) (2)
- Exponential dichotomies in average for flows and admissibility (2016) (2)
- Liouvillian integrability of some quadratic Liénard polynomial differential systems (2018) (2)
- Characterization of tempered exponential dichotomies (2020) (2)
- On the Polynomial Solutions and Limit Cycles of Some Generalized Polynomial Ordinary Differential Equations (2020) (2)
- Stability of some solutions for elliptic equations on a cylindrical domain (2009) (2)
- Rational solutions of Abel trigonometric polynomial differential equations (2022) (2)
- General exponential dichotomies: from finite to infinite time (2019) (2)
- Center manifolds under nonuniform hyperbolicity – maximal regularity☆ (2011) (2)
- Periodic orbits of perturbed non-axially symmetric potentials in 1:1:1 and 1:1:2 resonances (2018) (2)
- On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers (2017) (2)
- Robustness of a Weaker Notion of Exponential Dichotomy (2014) (2)
- Invariant algebraic surfaces for a virus dynamics (2014) (2)
- Robustness of dichotomies and trichotomies for difference equations (2014) (2)
- Phase portraits of Abel quadratic differential systems of the second kind (2018) (2)
- Robustness of Hyperbolicity in Delay Equations (2020) (2)
- DARBOUX INTEGRABILITY OF A SIMPLIFIED FRIEDMAN–ROBERTSON–WALKER HAMILTONIAN SYSTEM (2012) (2)
- Weierstrass Integrability of Complex Differential Equations (2021) (2)
- Admissibility versus nonuniform exponential behavior for noninvertible cocycles (2012) (2)
- On the nonintegrability of magnetic field lines (2013) (2)
- A Perron-type theorem for nonautonomous delay equations (2013) (2)
- Stable manifolds for difference equations with infinite delay (2020) (2)
- Fredholm operators and nonuniform exponential dichotomies (2016) (2)
- Regularity of center manifolds under nonuniform hyperbolicity (2011) (2)
- Rational limit cycles of Abel equations (2021) (2)
- Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree −k (2016) (2)
- On the Global Analytic Integrability of the Belousov–Zhabotinskii System (2008) (2)
- Bifurcation of limit cycles and integrability conditions for 6-parameter families of polynomial vector fields of arbitrary degree (2008) (2)
- Conjugacies between general contractions (2012) (2)
- Delay equations and nonuniform exponential stability (2008) (2)
- Global dynamical aspects of a generalized Chen–Wang differential system (2016) (2)
- Center manifolds for difference equations—smooth parameter dependence (2010) (2)
- On the Complete Integrability of the Raychaudhuri Differential System in R 4 and of a CRNT Model in R 5 (2017) (2)
- Applications of Admissibility (2018) (2)
- Centers of weight-homogeneous polynomial vector fields on the plane (2016) (2)
- The global flow of the quasihomogeneous potentials of Manev- Schwarchild type (2001) (2)
- Polynomial differential systems with even degree have no global centers (2021) (2)
- Phase portraits of the complex Abel polynomial differential systems (2021) (2)
- Lyapunov functions versus exponential contractions (2011) (2)
- A sufficient condition for the real Jacobian conjecture in R2 (2021) (2)
- Phase portraits for some symmetric Riccati cubic polynomial differential equations (2018) (2)
- Equivalent notions of hyperbolicity (2020) (1)
- A weight-homogenous condition to the real Jacobian conjecture in (2021) (1)
- On the exponential behaviour of non-autonomous difference equations (2013) (1)
- Approximation of ill-posed boussinesq equations (2004) (1)
- Darboux polynomials, balances and Painlevé property (2017) (1)
- Analytic integrability of a class of planar polynomial differential systems (2015) (1)
- Spectral theory for invertible cocycles under nonuniform hyperbolicity (2018) (1)
- Stability of delay equations (2022) (1)
- Optimal regularity of stable manifolds of nonuniformly hyperbolic dynamics (2011) (1)
- INTEGRABILITY OF THE NOS´ E-HOOVER EQUATION (2011) (1)
- Stability of nonautonomous equations in Hilbert spaces (2008) (1)
- On a conjecture on the integrability of Liénard systems (2020) (1)
- Analytic invariant manifolds for sequences of diffeomorphisms (2008) (1)
- Cubic relations between frequencies of digits and Hausdorff dimension (2011) (1)
- PARAMETER DEPENDENCE OF STABLE MANIFOLDS FOR IMPULSIVE EQUATIONS (2014) (1)
- Evolution maps and symmetry (2022) (1)
- Nonuniform exponential stability and admissibility (2016) (1)
- Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields (2022) (1)
- New arbitrary-parameter families of centres for polynomial vector fields of arbitrary degree (2008) (1)
- Admissibility via Evolution Semigroups (2022) (1)
- Phase Portraits of Uniform Isochronous Centers with Homogeneous Nonlinearities (2021) (1)
- Configurations of the Topological Indices of the Planar Polynomial Differential Systems of Degree (2, m) (2021) (1)
- Liouvillian and analytic integrability in a modified Philips model (2012) (1)
- ON THE ROBUSTNESS OF EXPONENTIAL DICHOTOMIES (2015) (1)
- The classical Arnold example of diffusion with two equal parameters (1998) (1)
- Integrability Conditions for Complex Homogeneous Kukles Systems (2018) (1)
- Analytic integrability of cubic–linear planar polynomial differential systems (2016) (1)
- Hyperbolicity via Evolution Semigroups on $$L^p$$Lp (2019) (1)
- Nonuniformly hyperbolic cocycles: admissibility and robustness (2012) (1)
- LIMIT CYCLES FROM A 4-DIMENSIONAL CENTER IN R m IN RESONANCE p : q (2012) (1)
- Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations (2022) (1)
- A Generalization of the Poincaré Compactification and the Real Jacobian Conjecture (2022) (1)
- Stability of nonautonomous equations and Lyapunov functions (2013) (1)
- Corrigendum: On the Abel differential equations of third kind (2021) (1)
- The improved Euler–Jacobi formula and the planar cubic polynomial vector fields in ℝ2 (2022) (1)
- A version of a theorem of Pliss for non-uniform and non-invertible dichotomies (2016) (1)
- On the robustness of nonuniform exponential trichotomies (2016) (1)
- Hausdorff Dimension and Nonlinear Relations Between Frequencies of Digits (2012) (1)
- Robustness of nonuniform exponential dichotomies (2008) (1)
- Discrete Melnikov functions (2021) (1)
- Spectrum for compact operators on Banach spaces (2019) (1)
- Robustness of exponential dichotomies in mean (2014) (1)
- Nonintegrability of a class of the Bianchi V I0 and V II0 models (2010) (1)
- PHASE PORTRAITS FOR Z2-SYMMETRIC CUBIC RICCATI POLYNOMIAL DIFFERENTIAL EQUATIONS (2018) (1)
- Limit cycles bifurcating from a zero–Hopf singularity in arbitrary dimension (2018) (1)
- Stability of some waves in the dissipative Boussinesq system (2009) (1)
- TRIGONOMETRIC POLYNOMIAL SOLUTIONS OF EQUIVARIANT TRIGONOMETRIC POLYNOMIAL ABEL DIFFERENTIAL EQUATIONS (2017) (1)
- Liouvillian first integrals for quadratic systems with an integrable saddle (2015) (1)
- Zero-Hopf bifurcation in the general Van der Pol-Duffing equation (2019) (1)
- On the Complete Integrability of the Raychaudhuri Differential System in $$\mathbb {R}^4$$R4 and of a CRNT Model in $$\mathbb {R}^5$$R5 (2018) (1)
- Generalized exponential behavior and topological equivalence (2017) (1)
- Spectrum of a nonautonomous dynamics for growth rates (2017) (1)
- Normal Forms for Equivariant Differential Equations (2021) (1)
- Centers of planar generalized Abel equations (2020) (1)
- Global qualitative dynamics of the Brusselator system (2020) (1)
- Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree $d\geq 7$ odd (2010) (1)
- Simultaneity of centres in double-reversible planar differential systems (2020) (1)
- C INVARIANT MANIFOLDS FOR INFINITE DELAY (2019) (1)
- Regularity and Stability Sets for Families of Sequences of Matrices (2019) (1)
- Weierstrass integrability for a class of differential systems (2014) (1)
- Global dynamics for the Szekeres system with non-zero cosmological constant (2022) (1)
- Small-Amplitude Limit Cycles of Certain Planar Differential Systems (2020) (0)
- Robustness of exponential behavior in Banach spaces (2017) (0)
- Perturbation theory and discrete Hamiltonian dynamics (2006) (0)
- Limit Cycles of Planar Discontinuous Piecewise Linear Hamiltonian Systems Without Equilibria Separated by Nonregular Curves (2022) (0)
- Darboux integrability of polynomial differential systems in $\mathbb R^3$ (2013) (0)
- Global Dynamics of a System Coming from the Study of a Static Star (2022) (0)
- Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers (2023) (0)
- Exponential Dichotomies: Continuous Time (2018) (0)
- Nonuniform Spectrum on the Half Line and Perturbations (2016) (0)
- Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities (2015) (0)
- Center manifolds for delay-differential equations with variable argument (2022) (0)
- Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines (2022) (0)
- Matrices and Vectors (2016) (0)
- Existence of invariant manifolds (2012) (0)
- On the polynomial integrability of a system motivated by the Riemann ellipsoid problem (2016) (0)
- Exponential behavior in Banach spaces: robustness of trichotomies in discrete time (2014) (0)
- Integrability of the Nos´ equation (2011) (0)
- On a conjecture on the integrability of Liénard systems (2019) (0)
- Center manifolds and optimal estimates (2014) (0)
- Reducibility sets for sequences of matrices (2020) (0)
- Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System (2020) (0)
- Robustness for Stable Impulsive Equations via Quadratic Lyapunov Functions (2016) (0)
- The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line (2021) (0)
- On Darboux integrability of Edelstein’s reaction system in R 3 (2018) (0)
- Inner Products and Norms (2016) (0)
- On Darboux integrability of Edelstein’s reaction system in R 3 (2018) (0)
- Qualitative analysis of the anisotropic two-body problem under Seeliger's potential (2014) (0)
- Characterization of Nonuniform Contractions and Expansions with Growth Rates (2016) (0)
- Trigonometric polynomial solutions of Bernouilli trigonometric polynomial differential equations (2022) (0)
- Poincaré-Bendixson theory (2012) (0)
- Integrable Weak Saddles for Trigonometric Liénard Systems (2019) (0)
- Periodic motion in perturbed elliptic oscillators revisited (2016) (0)
- Evolution groups and reversibility (2023) (0)
- Regularity of Normal Forms on Parameters (2022) (0)
- Solving Differential Equations (2012) (0)
- Topological conjugacies and behavior at infinity (2013) (0)
- Perturbations of tempered spectra (2023) (0)
- Qualitative analysis of the anisotropic two-body problem with relativistic potential (2013) (0)
- On the Darboux integrability of the Hindmarsh–Rose burster (2017) (0)
- Lyapunov regularity and triangularization for unbounded sequences (2019) (0)
- Sequences and Series (2012) (0)
- A note on the Stefanescu conjecture (2013) (0)
- Smooth Dependence of Topological Conjugacies on Parameters (2011) (0)
- CHIELLINI HAMILTONIAN LIÉNARD DIFFERENTIAL SYSTEMS (2019) (0)
- Center manifolds in Banach spaces (2008) (0)
- Stability Theory of General Contractions for Delay Equations (2010) (0)
- Zero-Hopf Polynomial Centers of Third-Order Differential Equations (2018) (0)
- Center manifolds depending on a parameter (2011) (0)
- Global C∞ integrability of quartic–linear polynomial differential systems (2019) (0)
- Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve (2017) (0)
- Z2-SYMMETRIC PLANAR POLYNOMIAL HAMILTONIAN SYSTEMS OF DEGREE 3 WITH NILPOTENT CENTERS (2019) (0)
- PERTURBATION THEORY AND DISCRETE HAMILTONIAN DYNAMICS DIOGO A. GOMES AND CLAUDIA VALLS (2004) (0)
- Global dynamics of the Buckingham’s two-body problem (2018) (0)
- LIOUVILLIAN INTEGRABILITY OF A DETERMINISTIC BUSINESS CYCLE MODEL (2013) (0)
- Global dynamics of a virus model with invariant algebraic surfaces (2020) (0)
- Admissibility: Further Developments (2018) (0)
- The Completely Integrable Differential Systems are Essentially Linear Differential Systems (2015) (0)
- Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions (2017) (0)
- Lyapunov regularity in Hilbert spaces (2008) (0)
- Parameter Dependence of Stable Manifolds for Delay Equations with Polynomial Dichotomies (2011) (0)
- Robustness of Hyperbolicity in Delay Equations (2019) (0)
- Exponential behavior in mean for cocycles (2015) (0)
- Global dynamics of a virus model with invariant algebraic surfaces (2019) (0)
- Spectral theory for invertible cocycles under nonuniform hyperbolicity (2017) (0)
- Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations (2017) (0)
- Characterizations of Hyperbolicity in Difference Equations with Delay (2022) (0)
- Characterization of the kukles polynomial differential systems having an invariant algebraic curve (2022) (0)
- On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem (2021) (0)
- On the Global Nilpotent Centers of Cubic Polynomial Hamiltonian Systems (2022) (0)
- A nonautonomous Grobman–Hartman theorem (2008) (0)
- Nonuniform Dichotomies via Lyapunov Functions (2014) (0)
- INTEGRABILITY IN NONLINEAR BIOMATHEMATICAL MODELS (2013) (0)
- Lyapunov Functions for General Nonuniform Dichotomies (2013) (0)
- Characterization of strong exponential dichotomies (2015) (0)
- Strong and weak admissibility of L^\infty spaces (2017) (0)
- Centre manifold variety for eight-parameter families of polynomial vector fields of arbitrary degree (2010) (0)
- Spectral theory under nonuniform hyperbolicity (2016) (0)
- Lyapunov Functions and Cone Families (2012) (0)
- Two Limit Cycles in Liénard Piecewise Linear Differential Systems (2018) (0)
- On the “traveling pulses” of the limit of the FitzHugh–Nagumo equation when <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e63" altimg="si11.svg"><mml:mrow><mml:mi>ɛ</mml:mi><mml:mo>→</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> (2023) (0)
- Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres (2022) (0)
- Electronic Journal of Qualitative Theory of Differential Equations (2020) (0)
- Evolution maps and center manifolds (2020) (0)
- Center manifolds for nonautonomous dynamics via evolution semigroups (2020) (0)
- Polynomial contractions and Lyapunov regularity (2010) (0)
- Integrability of the Rucklidge system (2014) (0)
- Hyperbolicity and topological conjugacies (2012) (0)
- The improved Euler-Jacobi formula and the planar polynomial vector fields of degree 2-4 (2022) (0)
- Nonuniform Stability of Arbitrary Difference Equations (2015) (0)
- NONUNIFORM EXPONENTIAL BEHAVIOUR AND TOPOLOGICAL EQUIVALENCE (2015) (0)
- A generalization of the Poincaré compactification for weight-homogeneous polynomials with weight degree (1,ℓ) (2020) (0)
- LOWER BOUNDS ALONG STABLE MANIFOLDS (2017) (0)
- On the Darboux integrability of the logarithmic galactic potentials (2017) (0)
- Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles (2021) (0)
- Evolution maps for delay-difference equations (2023) (0)
- Periodic motion in perturbed elliptic oscillators revisited (2016) (0)
- Configurations of the Topological Indices of the Planar Polynomial Differential Systems of Degree (2, m) (2021) (0)
- Equivariant Nonautonomous Normal Forms (2021) (0)
- Non-zero Lyapunov exponents and Lyapunov's coefficient of regularity for flows (2014) (0)
- On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers (2017) (0)
- SPECTRA OF DELAY EQUATIONS (2020) (0)
- Nonuniform exponential dichotomies and Fredholm operators for flows (2017) (0)
- Evolution maps and center manifolds (2020) (0)
- Darboux polynomials, balances and Painlevé property (2017) (0)
- Phase portraits of Abel quadratic differential systems of second kind with symmetries (2018) (0)
- Robustness of exponential behavior in Banach spaces (2016) (0)
- GLOBAL DYNAMICS OF THE MAY-LEONARD SYSTEM WITH A DARBOUX INVARIANT (2020) (0)
- Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System (2020) (0)
- The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$ (2022) (0)
- Dynamical Systems by Example (2019) (0)
- Highest weak focus order for trigonometric Liénard equations (2019) (0)
- Periodic Orbits Near Equilibria via Averaging Theory of Second Order (2012) (0)
- Frequencies of digits under trigonometric perturbations (2012) (0)
- New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System (2019) (0)
- ALGEBRAIC INVARIANT CURVES AND ALGEBRAIC FIRST INTEGRALS FOR RICCATI POLYNOMIAL DIFFERENTIAL SYSTEMS (2015) (0)
- Topological Dynamics (2019) (0)
- Global phase portraits of the generalized van der Pol systems (2022) (0)
- The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ R n S (2022) (0)
- Anisotropic two-body problem under the Buckingham potential (2021) (0)
- Twin Polynomial Vector Fields of Arbitrary Degree (2021) (0)
- Nonintegrabilty of a Halphen system (2014) (0)
- Modelling and control of tethered drone (2016) (0)
- Hyperbolic Sequences of Linear Operators and Evolution Maps (2016) (0)
- Stability of some waves in the Boussinesq system (2006) (0)
- Phase Portraits of the Leslie-Gower System (2022) (0)
- Center manifolds for nonautonomous dynamics via evolution semigroups (2020) (0)
- HOLOMORPHIC NONINTEGRABILITY OF MAGNETIC FIELDS (2015) (0)
- On the Dynamics of a Model with Coexistence of Three Attractors: A Point, a Periodic Orbit and a Strange Attractor (2017) (0)
- Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 4 (2016) (0)
- Admissibility in the Strong and Weak Senses (2020) (0)
- Reduction of a dynamics and separated angles (2016) (0)
- Exponential dichotomies and basic properties (2008) (0)
- On the integrability of a three-dimensional cored galactic Hamiltonian (2015) (0)
- Integrability of Hamiltonian Systems with Two Degrees of Freedom and Homogenous Potential of Degree Zero (2018) (0)
- Global dynamical aspects of a generalized Chen–Wang differential system (2016) (0)
- On the polynomial solutions of general polynomial differential equations (2020) (0)
- ON THE ROBUSTNESS OF EXPONENTIAL DICHOTOMIES LUIS (2015) (0)
- Twin Polynomial Vector Fields of Arbitrary Degree (2021) (0)
- Rational Periodic Solutions on Some Generalized Abel Equations (2022) (0)
- Perturbations with nonpositive Lyapunov exponents (2022) (0)
- Exponential behavior in Banach spaces: robustness of trichotomies in discrete time (2014) (0)
- Zero-Hopf Polynomial Centers of Third-Order Differential Equations (2016) (0)
- On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system (2015) (0)
- Analytic robustness of parameter-dependent perturbations of difference equations (2013) (0)
- Nonuniform exponential dichotomies and Lyapunov functions (2017) (0)
- LINEAR TYPE GLOBAL CENTERS OF CUBIC HAMILTONIAN SYSTEMS SYMMETRIC WITH RESPECT TO THE x-AXIS (2020) (0)
- Normal Forms for Equivariant Differential Equations (2021) (0)
- Universal centers and composition conditions on the complex plane (2021) (0)
- Nonuniform Stability of Difference Equations with Infinite Delay (2010) (0)
- Hamiltonian Description of Multi-fluid Streaming (2001) (0)
- Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry (2015) (0)
- Exponential dichotomies for impulsive equations via quadratic functions (2016) (0)
- Evolution Maps and Admissibility (2022) (0)
- Smooth stable manifolds in Banach spaces (2008) (0)
- Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in ℝ 3 (2021) (0)
- Robustness of a Weaker Notion of Exponential Dichotomy (2014) (0)
- Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation (2020) (0)
- Analytic invariant manifolds for nonautonomous equations (2015) (0)
- Liouvillian Integrability Versus Darboux Polynomials (2016) (0)
- Convolution of multifractals and the local magnetization in a random-field Ising chain (2017) (0)
- Admissibility in the Strong and Weak Senses (2020) (0)
- Planar central configurations of some restricted (4 + 1)-body problems (2022) (0)
- Hyperbolicity of delay equations via cocycles (2021) (0)
- Generalized Weierstrass Integrability of the Abel Differential Equations (2013) (0)
- Hyperbolic Dynamics (2019) (0)
- Linear equations and conjugacies (2012) (0)
- Stable Manifolds and Nonuniform Hyperbolicity: Optimal Estimates (2013) (0)
- Global Phase Portraits of ℤ2-Symmetric Planar Polynomial Hamiltonian Systems of Degree Three with a Nilpotent Saddle at the Origin (2020) (0)
- Global dynamics of the Buckingham’s two-body problem (2018) (0)
- Instability in Hamiltonian Systems (2005) (0)
- Reversibility of Conjugacies for Nonautonomous Equations (2011) (0)
- Frequencies of digits under trigonometric perturbations (2012) (0)
- COMPLETELY INTEGRABLE DIFFERENTIAL SYSTEMS ARE ESSENTIALLY LINEAR (2015) (0)
- Integrable Weak Saddles for Trigonometric Liénard Systems (2020) (0)
- Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles (2021) (0)
- Almost reducibility for families of sequences of matrices (2021) (0)
- Periodic solutions and invariant torus in the R\"ossler System (2019) (0)
- Characterization of regularity sets for families of sequences of matrices (2021) (0)
- NON-UNIFORM TRICHOTOMIES AND ARBITRARY GROWTH RATES (2017) (0)
- On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity (2017) (0)
- Bifurcations and center manifolds (2012) (0)
- Nonintegrabilty of a Halphen system (2014) (0)
- Exponential Dichotomies: Discrete Time (2018) (0)
- Partial Differential Equations (2012) (0)
- WEAK KAM THEORY FOR MULTIDIMENSIONAL MAPS (2003) (0)
- PARAMETER DEPENDENCE OF SMOOTH STABLE MANIFOLDS (2019) (0)
- Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3 (2020) (0)
- Nonautonomous equations and almost reducibility sets (2021) (0)
- Stability of L 1 contractions† (2015) (0)
- ON THE COMPLETE MEROMORPHIC INTEGRABILITY OF A THREE – DIMENSIONAL CORED GALACTIC HAMILTONIAN (2015) (0)
- Center Manifolds for Delay Equations (2020) (0)
- First integrals for a charged particle moving on a plane under the action of a magnetic field orthogonal to this plane (2012) (0)
- A note on the Stefanescu conjecture (2014) (0)
- Evolution Maps and Admissibility (2022) (0)
- Regularity Coefficients for Impulsive Differential Equations (2020) (0)
- Nilpotent saddles of linear plus cubic homogeneous polynomial reversible vector fields (2020) (0)
- On the local analytic integrability for a generalized damped nonlinear oscillator equation (2014) (0)
- OF BLASIUS AND FALKNER-SKAN EQUATION (2013) (0)
- Existence of quasiperiodic solutions for the second-order approximation Boussinesq system (2008) (0)
- Integrability of the Tolman–Oppenheimer–Volkoff equation (0)
- One-Sided Hyperbolicity via Evolution Maps (2020) (0)
- Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions (2018) (0)
- Conjugacies for impulsive equations (2011) (0)
- Exercises In Linear Algebra (2016) (0)
- Center manifolds and optimal estimates (2012) (0)
- Algebraic approach to the classification of centers in trigonometric Cherkas systems (2019) (0)
- Analytic integrability of a modified Michaelis-Menten equation (2012) (0)
- One-sided dichotomies versus two-sided dichotomies: arbitrary growth rates (2017) (0)
- Hausdorff Dimension and Quadratic Relations between Frequencies of Digits (2008) (0)
- On the number of invariant conics for the polynomial vector fields defined on quadrics (2013) (0)
- On the Integrability of a Four-Prototype Rössler System (2023) (0)
- New regularity coefficients (2022) (0)
- Lipschitz stable manifolds (2008) (0)
- Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries (2021) (0)
- On the Integrability of a Tritrophic Food Chain Model (2010) (0)
- Smooth stable manifolds in Rn (2008) (0)
- On a degenerate Hopf bifurcation (2010) (0)
- Liouvillian and analytic integrability of the quadratic vector fields having an invariant ellipse (2014) (0)
- Nonuniform Dichotomies via Lyapunov Functions (2014) (0)
- Nonuniform Stability of Arbitrary Difference Equations (2017) (0)
- Analytic integrability of a modified Michaelis-Menten equation (2012) (0)
- Lyapunov regularity and exponential dichotomies (2008) (0)
- Admissibility on the half line for evolution families (2017) (0)
- A note on the $3x+1$ conjecture (2021) (0)
- On Centered Co-circular Central Configurations of the n-Body Problem (2018) (0)
- Liouvillian integrability of some quadratic Liénard polynomial differential systems (2018) (0)
- Global dynamics of the Maxwell–Bloch system with invariant algebraic surfaces (2020) (0)
- Stability and Lyapunov functions (2012) (0)
- Strong and weak admissibility of L∞ spaces (2017) (0)

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