C. Valls

发表

Stability Of Nonautonomous Differential Equations

L. Barreira, C. Valls, 2007 .

Periodic solutions and invariant torus in the R\"ossler System

C. Valls, M. Cândido, D. Novaes, 2019, 1903.02398.

On the Dynamics of a Model with Coexistence of Three Attractors: A Point, a Periodic Orbit and a Strange Attractor

C. Valls, J. Llibre, 2017 .

Global dynamics of a virus model with invariant algebraic surfaces

C. Valls, J. Llibre, F. S. Dias, 2020, Rendiconti del Circolo Matematico di Palermo Series 2.

Invariant algebraic surfaces for a virus dynamics

C. Valls, 2015 .

Stability theory and Lyapunov regularity

L. Barreira, C. Valls, 2007 .

Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries

C. Valls, J. Llibre, 2018, Canadian Mathematical Bulletin.

Global dynamical aspects of a generalized Chen–Wang differential system

C. Valls, Regilene D. S. Oliveira, 2016 .

On the integrability and the zero-Hopf bifurcation of a Chen–Wang differential system

C. Valls, J. Llibre, Regilene D. S. Oliveira, 2015 .

Stability of some waves in the dissipative Boussinesq system

C. Valls, 2009 .

Existence of quasiperiodic solutions for the second-order approximation Boussinesq system

C. Valls, 2008 .

Quasiperiodic Solutions for Dissipative Boussinesq Systems

Claudia Valls, C. Valls, 2006 .

Rational integrability of a nonlinear finance system

Claudia Valls, C. Valls, 2012 .

Phase portraits for some symmetric Riccati cubic polynomial differential equations

C. Valls, J. Llibre, Regilene D. S. Oliveira, 2018 .

Strong and weak admissibility of L∞ spaces

L. Barreira, C. Valls, 2017 .

Admissibility and nonuniform exponential trichotomies

L. Barreira, C. Valls, D. Dragičević, 2015 .

Tempered exponential behavior for a dynamics in upper triangular form

L. Barreira, C. Valls, 2018 .

Exponential Dichotomies: Continuous Time

L. Barreira, C. Valls, D. Dragičević, 2018 .

Reduction of a dynamics and separated angles

L. Barreira, C. Valls, 2016 .

Nonuniform Stability of Difference Equations with Infinite Delay

L. Barreira, C. Valls, 2010 .

Quadratic Lyapunov functions and nonuniform exponential dichotomies

L. Barreira, C. Valls, 2009 .

Nonuniform Exponential Dichotomies and Lyapunov Regularity

Claudia Valls, Luis Barreira, L. Barreira, 2006 .

Qualitative analysis of the anisotropic two-body problem with generalized Lennard-Jones potential

C. Valls, D. Pasca, 2012, Journal of Mathematical Chemistry.

Liouvillian integrability of the FitzHugh–Nagumo systems

C. Valls, J. Llibre, 2010 .

Zero-Hopf bifurcation in the general Van der Pol-Duffing equation

C. Valls, M. Cândido, 2019, 1906.02335.

Dynamics of the Higgins–Selkov and Selkov systems

Joan C. Artés, C. Valls, J. Llibre, 2018, Chaos, Solitons & Fractals.

On the Darboux integrability of the Hindmarsh–Rose burster

C. Valls, J. Llibre, 2018 .

Centre manifold variety for eight-parameter families of polynomial vector fields of arbitrary degree

C. Valls, 2010, Proceedings of the Edinburgh Mathematical Society.

Centers for a 6-parameter family of polynomial vector fields of arbitrary degree

C. Valls, J. Llibre, 2008 .

Bifurcation of limit cycles and integrability conditions for 6-parameter families of polynomial vector fields of arbitrary degree

C. Valls, 2008 .

Global C∞ integrability of quartic–linear polynomial differential systems

C. Valls, J. Giné, 2019 .

CENTERS FOR GENERALIZED QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS

C. Valls, J. Llibre, J. Giné, 2017 .

The three-dimensional center problem for the zero-Hopf singularity

C. Valls, I. A. García, 2015 .

Rikitake system: analytic and Darbouxian integrals

C. Valls, 2005, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Integrability of the Hide--Skeldon--Acheson dynamo

C. Valls, Adam Mahdi, 2014, 1404.1110.

Stability of some solutions for elliptic equations on a cylindrical domain

C. Valls, 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Lyapunov Functions and Cone Families

L. Barreira, C. Valls, D. Dragičević, 2012 .

Liouvillian integrability of a general Rayleigh-Duffing oscillator

C. Valls, J. Giné, 2019, Journal of Nonlinear Mathematical Physics.

On the dynamics of the Rayleigh–Duffing oscillator

C. Valls, J. Giné, 2019, Nonlinear Analysis: Real World Applications.

Invariant Algebraic Surfaces for Generalized Raychaudhuri Equations

C. Valls, 2011 .

Analytic first integrals for generalized Raychaudhuri equations

C. Valls, 2011 .

Darbouxian integrals for generalized Raychaudhuri equations

C. Valls, 2011 .

The generalized Liénard polynomial differential systems x'=y, y'=-g(x)-f(x)y with degg=degf+1 are not Liouvillian integrable

C. Valls, J. Llibre, 2015 .

LIOUVILLIAN INTEGRABILITY OF A DETERMINISTIC BUSINESS CYCLE MODEL

C. Valls, 2013 .

Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems

C. Valls, J. Llibre, 2013 .

Liouvillian and analytic integrability in a modified Philips model

C. Valls, 2012 .

Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems

C. Valls, J. Llibre, 2015 .

Liouvillian and analytic integrability of the quadratic vector fields having an invariant ellipse

C. Valls, J. Llibre, 2014 .

Nonintegrability of a class of the Bianchi V I0 and V II0 models

C. Valls, J. Llibre, 2010 .

On the Integrability of a Tritrophic Food Chain Model

C. Valls, J. Llibre, 2010 .

On the integrability of the Einstein–Yang–Mills equations

C. Valls, J. Llibre, 2007 .

Integrability of the Bianchi IX system

C. Valls, J. Llibre, 2005 .

Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System

C. Valls, J. Giné, 2020, Journal of Dynamical and Control Systems.

Integrability Conditions for Complex Homogeneous Kukles Systems

C. Valls, J. Giné, 2018, Journal of Nonlinear Mathematical Physics.

Integrability conditions of a resonant saddle in Liénard-like complex systems

C. Valls, J. Giné, 2016 .

Polynomial First integrals for the Chen and Lü Systems

Jaume Llibre, Cláudia Valls, C. Valls, 2012, Int. J. Bifurc. Chaos.

Algebraic traveling waves for the generalized Newell–Whitehead–Segel equation

C. Valls, 2017 .

Phase portraits of Abel quadratic differential systems of the second kind

C. Valls, A. Ferragut, 2018 .

Phase portraits of Abel quadratic differential systems of second kind with symmetries

C. Valls, A. Ferragut, J. D. García-Saldaña, 2018, Dynamical Systems.

COMPLETELY INTEGRABLE DIFFERENTIAL SYSTEMS ARE ESSENTIALLY LINEAR

C. Valls, J. Llibre, X. Zhang, 2015 .

Liouvillian Integrability Versus Darboux Polynomials

C. Valls, J. Llibre, X. Zhang, 2016 .

Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever

C. Valls, J. Llibre, Regilene D. S. Oliveira, 2019, Chaos, Solitons & Fractals.

GLOBAL ANALYTIC FIRST INTEGRALS FOR THE SIMPLIFIED MULTISTRAIN/TWO-STREAM MODEL FOR TUBERCULOSIS AND DENGUE FEVER

C. Valls, J. Llibre, 2009 .

Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol–Duffing and the Rayleigh–Duffing oscillators

C. Valls, J. Llibre, M. Cândido, 2020 .

On the global dynamics of the Newell–Whitehead system

C. Valls, 2019, Journal of Nonlinear Mathematical Physics.

Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems

C. Valls, J. Giné, 2020 .

On a conjecture on the integrability of Liénard systems

C. Valls, J. Llibre, A. Murza, 2020, Rendiconti del Circolo Matematico di Palermo Series 2.

Highest weak focus order for trigonometric Liénard equations

C. Valls, J. Giné, A. Gasull, 2019, Annali di Matematica Pura ed Applicata (1923 -).

Hölder Grobman-Hartman linearization

L. Barreira, C. Valls, 2007 .

Darboux polynomials, balances and Painlevé property

C. Valls, J. Llibre, 2017 .

On the polynomial integrability of a system motivated by the Riemann ellipsoid problem

C. Valls, J. Llibre, 2016 .

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree −2

C. Valls, J. Llibre, Adam Mahdi, 2011 .

Darboux integrability of generalized Yang–Mills Hamiltonian system

C. Valls, J. Llibre, 2016 .

Centers for the Kukles homogeneous systems with even degree

C. Valls, J. Llibre, J. Giné, 2017 .

Centers for the Kukles homogeneous systems with odd degree

C. Valls, J. Llibre, J. Giné, 2015 .

On the Liouville integrability of Edelstein’s reaction system in R3

C. Valls, C. Wiuf, A. Ferragut, 2018 .

On Darboux integrability of Edelstein’s reaction system in R 3

C. Valls, C. Wiuf, A. Ferragut, 2018 .

Cubic relations between frequencies of digits and Hausdorff dimension

L. Barreira, C. Valls, 2011 .

Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential

C. Valls, J. Llibre, 2019, Astrophysics and Space Science.

Integrability of reversible and equivariant quadratic polynomial differential systems in the plane

C. Valls, J. Llibre, 2019, Rocky Mountain Journal of Mathematics.

PARAMETER DEPENDENCE OF SMOOTH STABLE MANIFOLDS

L. Barreira, C. Valls, 2019 .

Periodic orbits of perturbed non-axially symmetric potentials in 1:1:1 and 1:1:2 resonances

C. Valls, J. Llibre, Motserrat Corbera, 2018 .

Nonintegrabilty of a Halphen system

C. Valls, J. Llibre, 2014 .

Analytic first integrals of the Halphen system

C. Valls, 2006 .

Spectral theory for invertible cocycles under nonuniform hyperbolicity

L. Barreira, C. Valls, 2018 .

A generalization of the Poincaré compactification for weight-homogeneous polynomials with weight degree (1,ℓ)

C. Valls, 2020 .

A Generalization of the Poincaré Compactification and the Real Jacobian Conjecture

C. Valls, 2022, Journal of Dynamics and Differential Equations.

A weight-homogenous condition to the real Jacobian conjecture in

C. Valls, F. Braun, 2021, Proceedings of the Edinburgh Mathematical Society.

Algebraic approach to the classification of centers in trigonometric Cherkas systems

C. Valls, 2019, Proceedings of the American Mathematical Society.

Center problem for trigonometric Liénard systems

C. Valls, J. Giné, A. Gasull, 2017 .

Integrability and limit cycles of the Moon–Rand system

L. Barreira, C. Valls, J. Llibre, 2015 .

CHIELLINI HAMILTONIAN LIÉNARD DIFFERENTIAL SYSTEMS

C. Valls, 2019 .

Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities

C. Valls, J. Llibre, J. D. García-Saldaña, 2020, Int. J. Bifurc. Chaos.

Linear type global centers of linear systems with cubic homogeneous nonlinearities

C. Valls, J. Llibre, J. D. García-Saldaña, 2020, Rendiconti del Circolo Matematico di Palermo Series 2.

Configurations of the Topological Indices of the Planar Polynomial Differential Systems of Degree (2, m)

C. Valls, J. Llibre, 2021, Results in Mathematics.

Configurations of the Topological Indices of the Planar Polynomial Differential Systems of Degree (2, m)

C. Valls, J. Llibre, 2021 .

On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems

C. Valls, J. Llibre, 2020 .

Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve

C. Valls, J. Llibre, 2018 .

Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles

C. Valls, Montserrat Corbera, 2021, Discrete & Continuous Dynamical Systems - B.

Nilpotent saddles of linear plus cubic homogeneous polynomial reversible vector fields

C. Valls, Montserrat Corbera, 2020 .

Liouvillian first integrals for quadratic systems with an integrable saddle

C. Valls, J. Llibre, Yudy Bolaños, 2015 .

Small-Amplitude Limit Cycles of Certain Planar Differential Systems

C. Valls, J. Giné, 2020 .

Frequencies of digits under trigonometric perturbations

L. Barreira, C. Valls, 2012, Monatshefte für Mathematik.

Invariant algebraic surfaces for the reduced three-wave interaction system

C. Valls, Adam Mahdi, 2011 .

Robustness for Stable Impulsive Equations via Quadratic Lyapunov Functions

L. Barreira, C. Valls, 2016, Milan Journal of Mathematics.

Nonuniform Dichotomies via Lyapunov Functions

L. Barreira, C. Valls, 2014, Milan Journal of Mathematics.

Stable Manifolds and Nonuniform Hyperbolicity: Optimal Estimates

L. Barreira, C. Valls, 2013, Mediterranean Journal of Mathematics.

Lyapunov Functions and Cone Families

L. Barreira, C. Valls, D. Dragičević, 2012, Journal of Statistical Physics.

Phase Portraits of the Leslie-Gower System

C. Valls, J. Llibre, 2022, Acta Mathematica Scientia.

On the Dynamics of a Model with Coexistence of Three Attractors: A Point, a Periodic Orbit and a Strange Attractor

C. Valls, J. Llibre, 2017, Mathematical Physics, Analysis and Geometry.

The Completely Integrable Differential Systems are Essentially Linear Differential Systems

C. Valls, J. Llibre, Xiang Zhang, 2015, Journal of Nonlinear Science.

Normal Forms for Equivariant Differential Equations

L. Barreira, C. Valls, 2021, Journal of Dynamics and Differential Equations.

On two notions of exponential dichotomy

L. Barreira, C. Valls, 2018 .

Transformations preserving the Lyapunov exponents

L. Barreira, C. Valls, 2017 .

Evolution maps and center manifolds

L. Barreira, C. Valls, 2020, Aequationes mathematicae.

Center manifolds for nonautonomous dynamics via evolution semigroups

L. Barreira, C. Valls, 2020, Journal of Fixed Point Theory and Applications.

Nonuniform Spectrum on the Half Line and Perturbations

L. Barreira, C. Valls, D. Dragičević, 2016, Results in Mathematics.

Nonuniform Stability of Arbitrary Difference Equations

L. Barreira, C. Valls, D. Dragičević, 2015, Results in Mathematics.

Characterization of strong exponential dichotomies

L. Barreira, C. Valls, D. Dragičević, 2015, Bulletin of the Brazilian Mathematical Society, New Series.

Robustness of a Weaker Notion of Exponential Dichotomy

L. Barreira, C. Valls, 2014, Integral Equations and Operator Theory.

Parameter Dependence of Stable Manifolds for Delay Equations with Polynomial Dichotomies

L. Barreira, C. Valls, Jimin Zhang, 2011, Journal of Dynamics and Differential Equations.

Liouvillian integrability of some quadratic Liénard polynomial differential systems

C. Valls, 2018, Rendiconti del Circolo Matematico di Palermo Series 2.

Twin Polynomial Vector Fields of Arbitrary Degree

C. Valls, J. Llibre, 2021, Bulletin of the Brazilian Mathematical Society, New Series.

Electronic Journal of Qualitative Theory of Differential Equations

C. Valls, Claudia Valls, 2020 .

Parameter dependence of stable manifolds for difference equations

L. Barreira, C. Valls, 2010 .

Optimal estimates along stable manifolds of non-uniformly hyperbolic dynamics

L. Barreira, C. Valls, 2008, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Hyperbolicity via Evolution Semigroups on $$L^p$$Lp

L. Barreira, C. Valls, 2019, Qualitative Theory of Dynamical Systems.

Regularity and Stability Sets for Families of Sequences of Matrices

L. Barreira, C. Valls, 2019, Journal of Dynamics and Differential Equations.

Lyapunov regularity and triangularization for unbounded sequences

L. Barreira, C. Valls, 2019, Electronic Journal of Qualitative Theory of Differential Equations.

Lyapunov type characterization of hyperbolic behavior

L. Barreira, C. Valls, D. Dragičević, 2017 .

Nonuniform Stability of Arbitrary Difference Equations

L. Barreira, C. Valls, D. Dragičević, 2017 .

Positive top Lyapunov exponent via invariant cones: Single trajectories

L. Barreira, C. Valls, D. Dragičević, 2015 .

From one-sided dichotomies to two-sided dichotomies

L. Barreira, C. Valls, D. Dragičević, 2015 .

Nonuniform Hyperbolicity and Admissibility

L. Barreira, C. Valls, D. Dragičević, 2014 .

Nonuniform Dichotomies via Lyapunov Functions

L. Barreira, C. Valls, 2014 .

Stable Manifolds and Nonuniform Hyperbolicity: Optimal Estimates

L. Barreira, C. Valls, 2013 .

Stable manifolds for delay equations and parameter dependence

L. Barreira, C. Valls, M. Fan, 2012 .

Lyapunov functions for trichotomies with growth rates

L. Barreira, C. Valls, 2010 .

A Grobman–Hartman theorem for general nonuniform exponential dichotomies☆

L. Barreira, C. Valls, 2009 .

Stable invariant manifolds for parabolic dynamics

L. Barreira, C. Valls, 2009 .

Robustness of general dichotomies

L. Barreira, C. Valls, 2009 .

Center manifolds for non-uniformly partially hyperbolic trajectories

L. Barreira, C. Valls, 2006, Ergodic Theory and Dynamical Systems.

Stable manifolds for nonautonomous equations without exponential dichotomy

L. Barreira, C. Valls, 2006 .

Higher regularity of invariant manifolds for nonautonomous equations

L. Barreira, C. Valls, 2005 .

Lyapunov regularity via singular values

L. Barreira, C. Valls, 2017 .

Optimal regularity of stable manifolds of nonuniformly hyperbolic dynamics

L. Barreira, C. Valls, 2011 .

Smooth stable invariant manifolds and arbitrary growth rates

L. Barreira, C. Valls, 2010 .

Parameter dependence of stable manifolds under nonuniform hyperbolicity

L. Barreira, C. Valls, 2009 .

Regularity of Invariant Manifolds for Nonuniformly Hyperbolic Dynamics

César M. Silva, L. Barreira, C. Valls, 2008 .

Liouvillian integrability of some quadratic Liénard polynomial differential systems

C. Valls, 2018, Rendiconti del Circolo Matematico di Palermo Series 2.

Nonintegrabilty of a Halphen system

C. Valls, Х Либре, Jaume Llibre, 2014, Theoretical and Mathematical Physics.

Low-Dimensional Dynamics

L. Barreira, C. Valls, 2019, Dynamical Systems by Example.

Exponential dichotomies for impulsive equations via quadratic functions

L. Barreira, C. Valls, 2016 .

On the analytic integrability of the Liénard analytic differential systems

C. Valls, J. Llibre, 2015 .

Lyapunov functions for strong exponential contractions

L. Barreira, C. Valls, D. Dragičević, 2013 .

Stability of nonautonomous equations and Lyapunov functions

L. Barreira, C. Valls, 2013 .

Lyapunov functions versus exponential contractions

L. Barreira, C. Valls, 2011 .

Stability of delay equations via Lyapunov functions

Claudia Valls, Luis Barreira, L. Barreira, 2010 .

Nonuniform exponential contractions and Lyapunov sequences

L. Barreira, C. Valls, 2009 .

Robustness via Lyapunov functions

L. Barreira, C. Valls, 2009 .

Robustness of Discrete Dynamics via Lyapunov Sequences

L. Barreira, C. Valls, 2009 .

ALGEBRAIC INVARIANT CURVES AND ALGEBRAIC FIRST INTEGRALS FOR RICCATI POLYNOMIAL DIFFERENTIAL SYSTEMS

C. Valls, J. Llibre, 2015 .

Puiseux Integrability of Differential Equations

C. Valls, J. Giné, M. Demina, 2022, Qualitative Theory of Dynamical Systems.

Classification of Invariant Algebraic Curves and Nonexistence of Algebraic Limit Cycles in Quadratic Systems from Family (I) of the Chinese Classification

C. Valls, M. Demina, 2020, Int. J. Bifurc. Chaos.

On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations

C. Valls, M. Demina, 2020, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Centers and isochronous centers for generalized quintic systems

Jaume Giné, Jaume Llibre, Cláudia Valls, 2015, J. Comput. Appl. Math..

Periodic orbits of the planar anisotropic generalized Kepler problem

C. Valls, J. Llibre, 2019, Journal of Mathematics and Physics.

On the Anisotropic Potentials of Manev-Schwarzschild Type

Cláudia Valls, C. Valls, 2010, Int. J. Bifurc. Chaos.

Integrability of the Tolman–Oppenheimer–Volkoff equation

C. Valls, J. Giné, Najmeh Khajoei, 2022, Nonlinear Analysis: Real World Applications.

Liouvillian first integrals for Liénard polynomial differential systems

C. Valls, J. Llibre, 2010 .

Phase portraits of the two-body problem with Manev potential

C. Valls, J. Llibre, A. E. Teruel, 2001 .

A sufficient condition for the real Jacobian conjecture in R2

Jaume Llibre, Claudia Valls, C. Valls, 2021 .

Algebraic invariant curves and first integrals for Riccati polynomial differential systems

C. Valls, J. Llibre, 2014 .

Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions

C. Valls, 2018 .

Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions

C. Valls, 2017, Qualitative Theory of Dynamical Systems.

Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations

C. Valls, 2017, Nonlinear Differential Equations and Applications NoDEA.

Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations

C. Valls, 2017 .

Algebraic traveling waves for the generalized viscous Burgers equation

C. Valls, 2018, Journal of Mathematical Analysis and Applications.

Dynamical Systems: An Introduction

L. Barreira, C. Valls, 2012 .

Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system

C. Valls, J. Llibre, 2013 .

DARBOUX INTEGRABILITY OF A SIMPLIFIED FRIEDMAN–ROBERTSON–WALKER HAMILTONIAN SYSTEM

C. Valls, J. Llibre, 2012 .

On the Darboux integrability of the Hindmarsh–Rose burster

C. Valls, J. Llibre, 2017, Acta Mathematica Sinica, English Series.

INTEGRABILITY IN NONLINEAR BIOMATHEMATICAL MODELS

C. Valls, J. Llibre, 2013 .

Nonuniform spectrum on Banach spaces

L. Barreira, C. Valls, D. Dragičević, 2017 .

Centers and Isochronous Centers for Two Classes of Generalized Seventh and Ninth Systems

Jaume Llibre, Claudia Valls, C. Valls, 2010 .

Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems

Jaume Llibre, Claudia Valls, C. Valls, 2009 .

Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields

Jaume Llibre, Claudia Valls, C. Valls, 2014 .

Stable manifolds for perturbations of exponential dichotomies in mean

L. Barreira, C. Valls, 2017 .

Global dynamics of a Lotka–Volterra system in ℝ3

C. Valls, J. Llibre, Y. Paulina Martínez, 2020 .

Global dynamics for the Szekeres system with non-zero cosmological constant

C. Valls, J. Llibre, 2022, Physics of the Dark Universe.

Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in ℝ 3

C. Valls, J. Ginoux, J. Llibre, 2021, Mathematical Physics, Analysis and Geometry.

Global dynamics of the Maxwell–Bloch system with invariant algebraic surfaces

C. Valls, F. S. Dias, 2020, Dynamical Systems.

On the global dynamics of a three-dimensional forced-damped differential system

C. Valls, J. Llibre, Y. Paulina Martínez, 2020 .

Bounded polynomial vector fields in R2 and Rn

L. Barreira, C. Valls, J. Llibre, 2020, Journal of Differential Equations.

Global dynamics of a virus model with invariant algebraic surfaces

C. Valls, F. S. Dias, J. Llibre, 2019, Rendiconti del Circolo Matematico di Palermo Series 2.

On the dynamics of the Szekeres system

C. Valls, J. Llibre, 2019, Physics Letters A.

Geometry, integrability and bifurcation diagrams of a family of quadratic differential systems as application of the Darboux theory of integrability

Dana Schlomiuk, Claudia Valls, Regilene Oliveira, 2021, Electronic Journal of Qualitative Theory of Differential Equations.

Regularity of center manifolds under nonuniform hyperbolicity

L. Barreira, C. Valls, 2011 .

On the “traveling pulses” of the limit of the FitzHugh–Nagumo equation when ɛ→0

C. Valls, J. Llibre, 2023, Nonlinear Analysis: Real World Applications.

On the Singularities of the Planar Cubic Polynomial Differential Systems and the Euler Jacobi Formula

C. Valls, J. Llibre, 2020, Qualitative Theory of Dynamical Systems.

Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve

C. Valls, J. Llibre, 2017, Acta Mathematica Sinica, English Series.

Liouvillian and analytic integrability of the quadratic vector fields having an invariant ellipse

C. Valls, J. Llibre, 2014, Acta Mathematica Sinica, English Series.

Hopf bifurcation for some analytic differential systems in R^3 via averaging theory

Jaume Llibre, Claudia Valls, C. Valls, 2011 .

Analytic integrability of a Chua system

C. Valls, J. Llibre, 2008 .

HOLOMORPHIC NONINTEGRABILITY OF MAGNETIC FIELDS

C. Valls, Adam Mahdi, 2015 .

A note on the Stefanescu conjecture

C. Valls, 2014 .

On the nonintegrability of magnetic field lines

C. Valls, Adam Mahdi, 2013 .

PERIODIC SOLUTIONS OF A GALACTIC POTENTIAL

C. Valls, J. Llibre, D. Pasca, 2014 .

Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers

Maria Elisa Anacleto, C. Valls, J. Llibre, 2023, Boletín de la Sociedad Matematica Mexicana.

Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines

Maria Elisa Anacleto, C. Valls, J. Llibre, 2022, Rendiconti del Circolo Matematico di Palermo Series 2.

Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles

Jaume Llibre, Claudio Vidal, Claudia Valls, 2021 .

Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles

Jaume Llibre, Claudia Valls, C. Valls, 2021, Symmetry.

Periodic motion in perturbed elliptic oscillators revisited

C. Valls, M. Corbera, J. Llibre, 2016, Astrophysics and Space Science.

Periodic motion in perturbed elliptic oscillators revisited

C. Valls, J. Llibre, M. Corbera, 2016 .

The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3

Jaume Llibre, Cláudia Valls, Victoria Otero-Espinar, 2020, Commun. Nonlinear Sci. Numer. Simul..

On the global dynamics and integrability of the Chemostat system

C. Valls, Y. P. Martínez, 2020, Nonlinear Analysis: Real World Applications.

Characterizations of Hyperbolicity in Difference Equations with Delay

L. Barreira, C. Valls, 2022, Results in Mathematics.

Conjugacies for linear and nonlinear perturbations of nonuniform behavior

L. Barreira, C. Valls, 2007 .

Characterization of tempered exponential dichotomies

L. Barreira, C. Valls, J. Rijo, 2020 .

Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

C. Valls, J. Llibre, Ilker E. Colak, 2014 .

Qualitative analysis of the anisotropic two-body problem under Seeliger's potential

C. Valls, D. Pasca, 2014 .

Robustness of exponential behavior in Banach spaces

Luís Barreira, Cláudia Valls, Liviu Horia Popescu, 2016, Periodica Mathematica Hungarica.

Robustness of exponential behavior in Banach spaces

L. Barreira, C. Valls, L. H. Popescu, 2016, Periodica Mathematica Hungarica.

PHASE PORTRAITS FOR Z2-SYMMETRIC CUBIC RICCATI POLYNOMIAL DIFFERENTIAL EQUATIONS

C. Valls, J. Llibre, Regilene D. S. Oliveira, 2018 .

Two Limit Cycles in Liénard Piecewise Linear Differential Systems

Jaume Llibre, Enrique Ponce, Claudia Valls, 2018, J. Nonlinear Sci..

Two Limit Cycles in Liénard Piecewise Linear Differential Systems

C. Valls, J. Llibre, E. Ponce, 2018, Journal of Nonlinear Science.

Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry

Jaume Llibre, Enrique Ponce, Cláudia Valls, 2015, J. Nonlinear Sci..

Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry

C. Valls, J. Llibre, E. Ponce, 2015, Journal of Nonlinear Science.

Conservation Laws in Biochemical Reaction Networks

Carsten Wiuf, Cláudia Valls, Adam Mahdi, 2017, SIAM J. Appl. Dyn. Syst..

Nonlinear oscillations in the modified Leslie–Gower model

C. Valls, J. Giné, 2020 .

Center manifolds and optimal estimates

L. Barreira, C. Valls, 2014 .

Center manifolds and optimal estimates

L. Barreira, C. Valls, 2012, Annali di Matematica Pura ed Applicata.

Center manifolds depending on a parameter

L. Barreira, C. Valls, 2011 .

Center manifolds under nonuniform hyperbolicity – maximal regularity☆

L. Barreira, C. Valls, 2011 .

Center Manifolds Optimal Regularity for Nonuniformly Hyperbolic Dynamics

L. Barreira, C. Valls, 2011 .

Center manifolds for difference equations—smooth parameter dependence

L. Barreira, C. Valls, 2010 .

Polynomial contractions and Lyapunov regularity

L. Barreira, C. Valls, 2010 .

Polynomial growth rates

L. Barreira, C. Valls, 2009 .

Center manifolds for infinite delay

L. Barreira, C. Valls, 2009 .

Robustness of nonuniform exponential trichotomies in Banach spaces

L. Barreira, C. Valls, 2009 .

Smooth center manifolds for nonuniformly partially hyperbolic trajectories

L. Barreira, C. Valls, 2007 .

Center manifolds for nonuniformly partially hyperbolic diffeomorphisms

L. Barreira, C. Valls, 2005 .

Lyapunov sequences for exponential trichotomies

L. Barreira, C. Valls, 2010 .

Admissibility in the Strong and Weak Senses

L. Barreira, C. Valls, 2020, Qualitative Theory of Dynamical Systems.

Anisotropic two-body problem under the Buckingham potential

C. Valls, C. Stoica, D. Pasca, 2021, Journal of Mathematical Chemistry.

Center manifolds for delay-differential equations with variable argument

L. Barreira, C. Valls, 2022, Periodica Mathematica Hungarica.

C INVARIANT MANIFOLDS FOR INFINITE DELAY

L. Barreira, C. Valls, 2019 .

Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation

C. Valls, 2020 .

Approximation of ill-posed boussinesq equations

C. Valls, D. Gomes, 2004 .

Existence of quasi-periodic solutions for elliptic equations on a cylindrical domain

C. Valls, 2006 .

Analytical integrability of the Rikitake system

C. Valls, J. Llibre, 2010 .

Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations

C. Valls, J. Llibre, 2022, Boletín de la Sociedad Matemática Mexicana.

Analytic first integrals of the FitzHugh – Nagumo systems

C. Valls, J. Llibre, 2009 .

Darboux integrability and algebraic invariant surfaces for the Rikitake system

Jaume Llibre, Claudia Valls, C. Valls, 2008 .

Formal and analytical integrability of the Bianchi IX system

C. Valls, J. Llibre, 2006 .

Parameter Dependence of Stable Manifolds for Delay Equations with Polynomial Dichotomies

L. Barreira, C. Valls, M. Fan, 2012 .

Robustness of nonuniform polynomial dichotomies for difference equations

L. Barreira, C. Valls, M. Fan, 2011 .

Robust nonuniform dichotomies and parameter dependence

L. Barreira, C. Valls, 2011 .

Perturbations with nonpositive Lyapunov exponents

L. Barreira, C. Valls, 2022, Quaestiones Mathematicae.

Perturbation theory and discrete Hamiltonian dynamics

C. Valls, D. Gomes, 2006 .

PERTURBATION THEORY AND DISCRETE HAMILTONIAN DYNAMICS DIOGO A. GOMES AND CLAUDIA VALLS

C. Valls, D. Gomes, 2004 .

Hausdorff Dimension and Quadratic Relations between Frequencies of Digits

L. Barreira, C. Valls, 2008 .

Asymptotic behavior of distribution of frequencies of digits

L. Barreira, C. Valls, 2008, Mathematical Proceedings of the Cambridge Philosophical Society.

Multifractal Structure of Two-Dimensional Horseshoes

L. Barreira, C. Valls, 2006 .

Wigner measures and quantum Aubry-Mather theory

Cláudia Valls, Diogo A. Gomes, C. Valls, 2007, Asymptot. Anal..

The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem

C. Valls, J. Llibre, D. Pasca, 2021, Celestial Mechanics and Dynamical Astronomy.

Irregular sets of two-sided Birkhoff averages and hyperbolic sets

L. Barreira, C. Valls, Jinjun Li, 2016 .

Robustness for Stable Impulsive Equations via Quadratic Lyapunov Functions

L. Barreira, C. Valls, 2016 .

Lyapunov Functions for General Nonuniform Dichotomies

L. Barreira, C. Valls, Jifeng Chu, 2013 .

WEAK KAM THEORY FOR MULTIDIMENSIONAL MAPS

C. Valls, D. Gomes, 2003 .

The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ R n S

C. Valls, J. Llibre, 2022, Journal of Dynamics and Differential Equations.

On the number of invariant conics for the polynomial vector fields defined on quadrics

C. Valls, J. Llibre, Yudy Bolaños, 2013 .

Lyapunov functions for strong exponential dichotomies

L. Barreira, C. Valls, D. Dragičević, 2013 .

On the polynomial integrability of Kirchoff’s equations

Jaume Llibre, Claudia Valls, C. Valls, 2012 .

Conjugacies between general contractions

L. Barreira, C. Valls, 2012 .

A simple proof of the GrobmanHartman theorem for nonuniformly hyperbolic flows

L. Barreira, C. Valls, 2011 .

The Michelson system is neither global analytic, nor Darboux integrable

Jaume Llibre, Claudia Valls, C. Valls, 2010 .

Robustness for impulsive equations

L. Barreira, C. Valls, 2010 .

Stability of dichotomies in difference equations with infinite delay

L. Barreira, C. Valls, 2010 .

Robustness of exponential dichotomies in mean

L. Barreira, C. Valls, 2014 .

Hölder conjugacies for random dynamical systems

L. Barreira, C. Valls, 2006 .

Normal forms via nonuniform hyperbolicity

L. Barreira, C. Valls, 2019, Journal of Differential Equations.

Exponential dichotomies in average for flows and admissibility

L. Barreira, C. Valls, D. Dragičević, 2016 .

The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line.

M Esteban, J Llibre, C Valls, 2021, Chaos.

Hausdorff Dimension and Nonlinear Relations Between Frequencies of Digits

Luís Barreira, Cláudia Valls, L. Barreira, 2012, Open Syst. Inf. Dyn..

On the Complete Integrability of the Raychaudhuri Differential System in $$\mathbb {R}^4$$R4 and of a CRNT Model in $$\mathbb {R}^5$$R5

Antoni Ferragut, Claudia Valls, C. Valls, 2018 .

On the non-integrability of a generalized Darboux Halphen system

C. Valls, 2006 .

Integrability conditions for complex kukles systems

C. Valls, J. Giné, 2017 .

Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities

C. Valls, J. Giné, 2015, Nonlinear Dynamics.

Centers for a class of generalized quintic polynomial differential systems

Jaume Giné, Jaume Llibre, Cláudia Valls, 2014, Appl. Math. Comput..

Nonautonomous Normal Forms with Parameters

L. Barreira, C. Valls, 2023, Journal of Dynamics and Differential Equations.

Regularity of Normal Forms on Parameters

L. Barreira, C. Valls, 2022, Milan Journal of Mathematics.

Perturbations of delay equations

L. Barreira, C. Valls, 2020 .

Topological conjugacies and behavior at infinity

L. Barreira, C. Valls, 2013 .

Conjugacies for impulsive equations

L. Barreira, C. Valls, 2011, Proceedings of the Edinburgh Mathematical Society.

Reversibility of Conjugacies for Nonautonomous Equations

L. Barreira, C. Valls, 2011 .

Smooth Dependence of Topological Conjugacies on Parameters

L. Barreira, C. Valls, 2011 .

Dependence of Topological Conjugacies on Parameters

L. Barreira, C. Valls, 2010 .

Conjugacies between linear and nonlinear non-uniform contractions

L. Barreira, C. Valls, 2008, Ergodic Theory and Dynamical Systems.

A Grobman-Hartman theorem for nonuniformly hyperbolic dynamics

L. Barreira, C. Valls, 2006 .

Liouvillian first integrals of quadratic–linear polynomial differential systems

C. Valls, J. Llibre, 2011 .

Evolution Maps and Admissibility

L. Barreira, C. Valls, 2022, Mediterranean Journal of Mathematics.

Admissibility in the Strong and Weak Senses

L. Barreira, C. Valls, 2020 .

Relations between regularity coefficients

L. Barreira, C. Valls, 2017 .

A version of a theorem of Pliss for non-uniform and non-invertible dichotomies

L. Barreira, C. Valls, D. Dragičević, 2016, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Non-zero Lyapunov exponents and Lyapunov's coefficient of regularity for flows

L. Barreira, C. Valls, 2014 .

Electronic Journal of Qualitative Theory of Differential Equations

L. Barreira, C. Valls, 2021 .

On the integrability of a three-dimensional cored galactic Hamiltonian

Jaume Llibre, Cláudia Valls, C. Valls, 2015, Appl. Math. Lett..

A Perron-type theorem for nonautonomous differential equations

L. Barreira, C. Valls, 2015 .

On the analytic integrability of the cored galactic Hamiltonian

Jaume Llibre, Cláudia Valls, C. Valls, 2014, Appl. Math. Lett..

Qualitative study of a charged restricted three-body problem

C. Valls, J. Llibre, D. Pasca, 2013 .

Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree

Jaume Llibre, Claudia Valls, C. Valls, 2011 .

Smooth robustness of exponential dichotomies

L. Barreira, C. Valls, 2011 .

Admissibility for nonuniform exponential contractions

L. Barreira, C. Valls, 2010 .

Smooth robustness of parameterized perturbations of exponential dichotomies

L. Barreira, C. Valls, 2010 .

Lyapunov regularity of impulsive differential equations

Claudia Valls, Luis Barreira, L. Barreira, 2010 .

Optimal regularity of robustness for parameterized perturbations

L. Barreira, C. Valls, 2010 .

Existence of nonuniform exponential dichotomies and a Fredholm alternative

L. Barreira, C. Valls, 2009 .

Nonuniform behavior and robustness

César M. Silva, Luis Barreira, L. Barreira, 2009 .

Robustness of nonuniform exponential dichotomies in Banach spaces

L. Barreira, C. Valls, 2008 .

Frequencies of digits under trigonometric perturbations

L. Barreira, C. Valls, 2012 .

Evolution maps and center manifolds

L. Barreira, C. Valls, 2020, Aequationes mathematicae.

Center manifolds for nonautonomous dynamics via evolution semigroups

L. Barreira, C. Valls, 2020 .

Highest weak focus order for trigonometric Liénard equations

C. Valls, J. Giné, A. Gasull, 2019, Annali di Matematica Pura ed Applicata (1923 -).

Classification of the centers and isochronous centers for a class of quartic-like systems

Jaume Llibre, Claudia Valls, C. Valls, 2009 .

Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems

Jaume Llibre, Claudia Valls, C. Valls, 2009 .

Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities

Jaume Llibre, Claudia Valls, C. Valls, 2009 .

RATIONAL LIMIT CYCLES ON ABEL EQUATIONS

C. Valls, J. Llibre, 2021 .

The Completely Integrable Differential Systems are Essentially Linear Differential Systems

Xiang Zhang, Jaume Llibre, Cláudia Valls, 2015, J. Nonlinear Sci..

Local analytic first integrals of planar analytic differential systems

C. Valls, J. Llibre, Ilker E. Colak, 2013 .

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree − 3

C. Valls, J. Llibre, Adam Mahdi, 2011 .

ON THE COMPLETE MEROMORPHIC INTEGRABILITY OF A THREE – DIMENSIONAL CORED GALACTIC HAMILTONIAN

C. Valls, 2015 .

On the quasi-periodic solutions of generalized Kaup systems

C. Valls, 2014 .

Induced delay equations

L. Barreira, C. Valls, 2024, Journal of Differential Equations.

Nonuniform exponential dichotomies and Fredholm operators for flows

L. Barreira, C. Valls, D. Dragičević, 2017 .

Nonuniform exponential dichotomies and Fredholm operators for flows

L. Barreira, C. Valls, D. Dragičević, 2017, Aequationes mathematicae.

Fredholm operators and nonuniform exponential dichotomies

L. Barreira, C. Valls, D. Dragičević, 2016 .

Lyapunov Functions for General Nonuniform Dichotomies

L. Barreira, C. Valls, Jifeng Chu, 2013, Milan Journal of Mathematics.

Robustness of nonuniform dichotomies with different growth rates

L. Barreira, C. Valls, Jifeng Chu, 2011 .

Hyperbolicity via admissibility in delay equations

L. Barreira, C. Valls, 2020 .

Evolution families and nonuniform spectrum

L. Barreira, C. Valls, 2016 .

On the Number of Limit cycles for a Generalization of LiéNard Polynomial differential Systems

Jaume Llibre, Cláudia Valls, C. Valls, 2013, Int. J. Bifurc. Chaos.

On the number of limit cycles of a class of polynomial differential systems

Jaume Llibre, Clàudia Valls, C. Valls, 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Limit cycles for a generalization of polynomial Liénard differential systems

Jaume Llibre, Claudia Valls, C. Valls, 2013 .

Limit cycles bifurcating from a zero–Hopf singularity in arbitrary dimension

L. Barreira, C. Valls, J. Llibre, 2018 .

Global analytic first integrals for the real planar Lotka-Volterra system

Jaume Llibre, Claudia Valls, C. Valls, 2007 .

Polynomial Solutions of Equivariant Polynomial Abel Differential Equations

C. Valls, J. Llibre, 2017 .

Rational limit cycles of Abel equations

Jaume Llibre, Claudia Valls, C. Valls, 2021, Communications on Pure & Applied Analysis.

TRIGONOMETRIC POLYNOMIAL SOLUTIONS OF EQUIVARIANT TRIGONOMETRIC POLYNOMIAL ABEL DIFFERENTIAL EQUATIONS

Vicentiu D. Rădulescu, C. Valls, 2017 .

Liouvillian Integrability Versus Darboux Polynomials

C. Valls, Xiang Zhang, J. Llibre, 2016, Qualitative Theory of Dynamical Systems.

Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System

C. Valls, J. Giné, 2020, Journal of Dynamical and Control Systems.