## Valls Anglés, Cláudia

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 Author ID: valls.claudia Published as: Valls, Claudia; Valls, Clàudia; Valls, C.; Valls, Cláudia; Valls, Claudià; Valls, Clàudìa more...less Further Spellings: Вальс Клаудиа External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 509 Publications since 1998, including 11 Books Co-Authors: 49 Co-Authors with 460 Joint Publications 1,155 Co-Co-Authors
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### Co-Authors

 49 single-authored 229 Barreira, Luis Manuel 175 Llibre, Jaume 32 Dragičević, Davor 29 Giné, Jaume 11 Oliveira, Regilene D. S. 10 Mahdi, Adam 7 Corbera, Montserrat 7 Paşca, Daniel 7 Popescu, Liviu Horia 6 Colak, Ilker E. 6 Dias, Fabio Scalco 6 Ferragut, Antoni 5 Li, Jinjun 4 Cândido, Murilo R. 4 Fan, Meng 4 Martínez, Y. Paulina 4 Zhang, Jimin 3 Bolaños, Yudy 3 Demina, Maria V. 3 García-Saldaña, Johanna D. 3 Gasull, Armengol 3 Gomes, Diogo Luís Aguiar 3 Silva, César M. 2 Chu, Jifeng 2 Esteban, Marina 2 García, Isaac A. 2 Ponce, Enrique 2 Pumariño, Antonio 2 Ribeiro, Ronisio Moises 2 Rijo, João 2 Simó, Carles 2 Stoica, Cristina 2 Wiuf, Carsten 2 Zhang, Xiang 1 Anacleto, Maria Elisa 1 Artés, Joan Carles 1 Bohner, Martin J. 1 de la Fuente, Alex 1 Diz-Pita, Érika 1 Ginoux, Jean-Marc 1 Holanda, Carllos 1 Murza, Adrian Calin 1 Novaes, Douglas Duarte 1 Otero-Espinar, Maria Victoria 1 Schlomiuk, Dana I. 1 Silva Lima, Mauricio Firmino 1 Teruel, Antonio E. 1 Travaglini, Ana Maria 1 Vidal, Claudio
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### Serials

 34 Journal of Differential Equations 18 Journal of Mathematical Physics 17 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Discrete and Continuous Dynamical Systems 17 Journal of Nonlinear Mathematical Physics 15 Dynamical Systems 13 Chaos, Solitons and Fractals 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Bulletin des Sciences Mathématiques 12 Journal of Dynamics and Differential Equations 11 Journal of Geometry and Physics 10 Electronic Journal of Differential Equations (EJDE) 9 Proceedings of the American Mathematical Society 9 Electronic Journal of Qualitative Theory of Differential Equations 9 Qualitative Theory of Dynamical Systems 9 Advanced Nonlinear Studies 8 Nonlinear Analysis. Real World Applications 8 Discrete and Continuous Dynamical Systems. Series B 7 Physica D 6 Communications on Pure and Applied Analysis 6 São Paulo Journal of Mathematical Sciences 5 Communications in Mathematical Physics 5 Nonlinearity 5 Physics Letters. A 5 Rocky Mountain Journal of Mathematics 5 Journal of Functional Analysis 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Topological Methods in Nonlinear Analysis 5 Nonlinear Dynamics 5 Communications in Contemporary Mathematics 5 Milan Journal of Mathematics 5 Mediterranean Journal of Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Quaestiones Mathematicae 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Results in Mathematics 4 Applied Mathematics Letters 4 Journal of Nonlinear Science 4 Journal of Difference Equations and Applications 4 Acta Mathematica Sinica. English Series 4 Journal of Dynamical and Control Systems 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Integral Equations and Operator Theory 3 Mathematika 3 Ergodic Theory and Dynamical Systems 3 Journal of Physics A: Mathematical and General 3 Mathematical Physics, Analysis and Geometry 3 Regular and Chaotic Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Stochastics and Dynamics 2 Journal of Statistical Physics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Glasgow Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Journal of the Mathematical Society of Japan 2 Mathematics and Computers in Simulation 2 Publicationes Mathematicae 2 Topology and its Applications 2 Revista Matemática Iberoamericana 2 Aequationes Mathematicae 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Mathematical Chemistry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Analysis and Applications (Singapore) 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Funkcialaj Ekvacioj. Serio Internacia 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Symbolic Computation 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni ...and 33 more Serials
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### Fields

 345 Ordinary differential equations (34-XX) 249 Dynamical systems and ergodic theory (37-XX) 32 Mechanics of particles and systems (70-XX) 27 Difference and functional equations (39-XX) 22 Partial differential equations (35-XX) 22 Operator theory (47-XX) 19 Biology and other natural sciences (92-XX) 10 Relativity and gravitational theory (83-XX) 6 Fluid mechanics (76-XX) 5 Measure and integration (28-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Functions of a complex variable (30-XX) 2 General topology (54-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

343 Publications have been cited 1,730 times in 868 Documents Cited by Year
Stability of nonautonomous differential equations. Zbl 1152.34003
Barreira, Luis; Valls, Claudia
2008
Robustness of nonuniform exponential dichotomies in Banach spaces. Zbl 1158.34041
Barreira, Luis; Valls, Claudia
2008
A Grobman–Hartman theorem for nonuniformly hyperbolic dynamics. Zbl 1099.37022
Barreira, Luis; Valls, Claudia
2006
Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1303.34027
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia
2014
Stable manifolds for nonautonomous equations without exponential dichotomy. Zbl 1098.34036
Barreira, Luis; Valls, Claudia
2006
Stability theory and Lyapunov regularity. Zbl 1184.37022
Barreira, Luis; Valls, Claudia
2007
Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry. Zbl 1331.34042
Llibre, Jaume; Ponce, Enrique; Valls, Clàudia
2015
Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities. Zbl 1176.34035
Llibre, Jaume; Valls, Clàudia
2009
Growth rates and nonuniform hyperbolicity. Zbl 1202.34096
Barreira, Luis; Valls, Claudia
2008
Integrability of the Bianchi IX system. Zbl 1110.37045
Llibre, Jaume; Valls, Clàudia
2005
Nonuniform exponential dichotomies and Lyapunov regularity. Zbl 1123.34040
Barreira, Luis; Valls, Claudia
2007
Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1307.34060
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia
2014
Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems. Zbl 1325.34002
Llibre, Jaume; Valls, Clàudia
2011
Polynomial growth rates. Zbl 1181.34046
Barreira, Luis; Valls, Claudia
2009
Rikitake system: analytic and Darbouxian integrals. Zbl 1098.34028
Valls, Claudia
2005
Nonuniform exponential dichotomies and admissibility. Zbl 1221.34141
Barreira, Luís; Valls, Claudia
2011
Irregular sets are residual. Zbl 1376.37032
Barreira, Luis; Li, Jinjun; Valls, Claudia
2014
Admissibility for nonuniform exponential contractions. Zbl 1228.34090
Barreira, Luis; Valls, Claudia
2010
Global analytic first integrals for the real planar Lotka-Volterra system. Zbl 1137.34329
Llibre, Jaume; Valls, Clàudia
2007
A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters. Zbl 1001.37051
Simó, Carles; Valls, Clàudia
2001
Stability of nonautonomous differential equations in Hilbert spaces. Zbl 1088.34053
Barreira, Luis; Valls, Claudia
2005
Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems. Zbl 1190.34033
Llibre, Jaume; Valls, Clàudia
2009
Lyapunov sequences for exponential dichotomies. Zbl 1153.37013
Barreira, Luis; Valls, Claudia
2009
Smoothness of invariant manifolds for nonautonomous equations. Zbl 1098.34041
Barreira, Luis; Valls, Claudia
2005
Darboux integrability of the Lü system. Zbl 1263.34018
Llibre, Jaume; Mahdi, Adam; Valls, Clàudia
2013
Conjugacies for linear and nonlinear perturbations of nonuniform behavior. Zbl 1127.37030
Barreira, Luis; Valls, Claudia
2007
Invariant algebraic surfaces for generalized Raychaudhuri equations. Zbl 1252.83073
Valls, Claudia
2011
Formal and analytic integrability of the Lorenz system. Zbl 1074.34005
Llibre, Jaume; Valls, Clàudia
2005
Lyapunov regularity of impulsive differential equations. Zbl 1206.34073
Barreira, Luis; Valls, Claudia
2010
Lyapunov functions for general nonuniform dichotomies. Zbl 1273.34057
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2013
On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system. Zbl 1345.34048
Llibre, Jaume; Oliveira, Regilene D. S.; Valls, Claudia
2015
Classification of the centers and isochronous centers for a class of quartic-like systems. Zbl 1201.34051
Llibre, Jaume; Valls, Clàudia
2009
Liouvillian first integrals for Liénard polynomial differential systems. Zbl 1196.37107
Llibre, J.; Valls, C.
2010
Robustness of nonuniform exponential trichotomies in Banach spaces. Zbl 1202.34105
Barreira, Luis; Valls, Claudia
2009
Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems. Zbl 1195.34046
Llibre, Jaume; Valls, Clàudia
2009
Robustness of general dichotomies. Zbl 1175.34068
Barreira, Luis; Valls, Claudia
2009
Hölder Grobman-Hartman linearization. Zbl 1120.37013
Barreira, Luis; Valls, Claudia
2007
Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree. Zbl 1230.37028
Llibre, Jaume; Valls, Clàudia
2011
Centers for the Kukles homogeneous systems with odd degree. Zbl 1323.34039
Giné, Jaume; Llibre, Jaume; Valls, Claudia
2015
Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1369.34057
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia
2017
Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1309.34045
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia
2015
Strong and weak $$(L^p, L^q)$$-admissibility. Zbl 1327.34097
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Nonuniform hyperbolicity and admissibility. Zbl 1332.37024
Barreira, Luis; Valls, Claudia; Dragičević, Davor
2014
On the local analytic integrability at the singular point of a class of Liénard analytic differential systems. Zbl 1194.34006
Llibre, Jaume; Valls, Clàudia
2010
Hopf bifurcation for some analytic differential systems in $$\mathbb R^3$$ via averaging theory. Zbl 1218.37066
Llibre, Jaume; Valls, Clàudia
2011
Limit cycles for a generalization of polynomial Liénard differential systems. Zbl 1258.34060
Llibre, Jaume; Valls, Clàudia
2013
Darboux integrability and algebraic invariant surfaces for the Rikitake system. Zbl 1153.81395
Llibre, Jaume; Valls, Clàudia
2008
Smooth center manifolds for nonuniformly partially hyperbolic trajectories. Zbl 1114.34038
Barreira, Luis; Valls, Claudia
2007
On the integrability of the Einstein-Yang-Mills equations. Zbl 1124.83005
Llibre, Jaume; Valls, Clàudia
2007
Quadratic Lyapunov functions and nonuniform exponential dichotomies. Zbl 1165.34030
Barreira, Luis; Valls, Claudia
2009
Quasiperiodic solutions for dissipative Boussinesq systems. Zbl 1122.37054
Valls, Claudia
2006
Robustness of nonuniform dichotomies with different growth rates. Zbl 1272.34067
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2011
On the number of limit cycles of a class of polynomial differential systems. Zbl 1371.34044
Llibre, Jaume; Valls, Clàudia
2012
On the dynamics of the Rayleigh-Duffing oscillator. Zbl 1415.34059
Giné, Jaume; Valls, Claudia
2019
Phase portraits of the two-body problem with Manev potential. Zbl 1006.70010
Llibre, Jaume; Teruel, Antonio E.; Valls, Claudia; de la Fuente, Alex
2001
Center manifolds for nonuniformly partially hyperbolic diffeomorphisms. Zbl 1159.37319
Barreira, Luis; Valls, Claudia
2005
Formal and analytic first integrals of the Einstein-Yang-Mills equations. Zbl 1098.83012
Llibre, Jaume; Valls, Clàudia
2005
Lyapunov functions for trichotomies with growth rates. Zbl 1197.34094
Barreira, Luis; Valls, Claudia
2010
Integrability of the Nosé-Hoover equation. Zbl 1221.34004
2011
Robustness of nonuniform polynomial dichotomies for difference equations. Zbl 1229.93042
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2011
Analytic integrability of quadratic-linear polynomial differential systems. Zbl 1213.37099
Llibre, Jaume; Valls, Clàudia
2011
Integrability conditions of a resonant saddle in Liénard-like complex systems. Zbl 1355.34056
Giné, Jaume; Valls, Claudia
2016
Stable manifolds for impulsive equations under nonuniform hyperbolicity. Zbl 1216.34037
Barreira, Luis; Valls, Claudia
2010
Nonuniform behavior and robustness. Zbl 1172.37013
Barreira, L.; Silva, C.; Valls, C.
2009
From one-sided dichotomies to two-sided dichotomies. Zbl 1366.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Existence of quasi-periodic solutions for elliptic equations on a cylindrical domain. Zbl 1130.35059
Valls, Claudia
2006
Formal and analytic integrability of the Rössler system. Zbl 1185.37038
Llibre, Jaume; Valls, Clàudia
2007
Multifractal structure of two-dimensional horseshoes. Zbl 1113.37012
Barreira, Luis; Valls, Claudia
2006
Smooth robustness of exponential dichotomies. Zbl 1216.39019
Barreira, Luis; Valls, Claudia
2011
On the number of limit cycles for a generalization of Liénard polynomial differential systems. Zbl 1270.34052
Llibre, Jaume; Valls, Claudia
2013
Nonuniform spectrum on Banach spaces. Zbl 1378.37063
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Analytic first integrals of the FitzHugh-Nagumo systems. Zbl 1194.92014
Llibre, Jaume; Valls, Clàudia
2009
Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007
Giné, Jaume; Valls, Claudia
2019
On the $$C^{1}$$ non-integrability of differential systems via periodic orbits. Zbl 1229.34003
Llibre, Jaume; Valls, Clàudia
2011
Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4. Zbl 1314.37040
Llibre, Jaume; Mahdi, Adam; Valls, Claudia
2011
Exponential dichotomies with respect to a sequence of norms and admissibility. Zbl 1353.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Nonuniform exponential contractions and Lyapunov sequences. Zbl 1173.37029
Barreira, Luis; Valls, Claudia
2009
Parameter dependence of stable manifolds under nonuniform hyperbolicity. Zbl 1177.37031
Barreira, Luis; Valls, Claudia
2009
Stability in nonautonomous dynamics: a survey of recent results. Zbl 1184.34001
Barreira, Luis; Valls, Claudia
2007
The Boussinesq system: dynamics on the center manifold. Zbl 1090.35149
Valls, Claudia
2005
Smooth robustness of parameterized perturbations of exponential dichotomies. Zbl 1204.39002
Barreira, Luis; Valls, Claudia
2010
Robust nonuniform dichotomies and parameter dependence. Zbl 1226.37013
Barreira, Luis; Valls, Claudia
2011
Liouvillian integrability of the FitzHugh-Nagumo systems. Zbl 1207.34006
Llibre, Jaume; Valls, Clàudia
2010
Invariant manifolds for impulsive equations and nonuniform polynomial dichotomies. Zbl 1216.34036
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2010
The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004
Llibre, Jaume; Valls, Claudia; Zhang, Xiang
2015
Lyapunov sequences for exponential trichotomies. Zbl 1191.37019
Barreira, Luis; Valls, Claudia
2010
Robustness for impulsive equations. Zbl 1194.34101
Barreira, Luis; Valls, Claudia
2010
Formal and analytical integrability of the Bianchi IX system. Zbl 1111.37043
Llibre, Jaume; Valls, Clàudìa
2006
Liouvillian first integrals for generalized Liénard polynomial differential systems. Zbl 1369.34003
Llibre, Jaume; Valls, Clàudia
2013
Stability in delay difference equations with nonuniform exponential behavior. Zbl 1129.39001
Barreira, Luis; Valls, Claudia
2007
Liouvillian first integrals of quadratic-linear polynomial differential systems. Zbl 1217.34003
Llibre, Jaume; Valls, Clàudia
2011
Reversibility and equivariance in center manifolds of nonautonomous dynamics. Zbl 1197.37023
Barreira, Luis; Valls, Claudia
2007
Polynomial first integrals for the Chen and Lü systems. Zbl 1258.34009
Llibre, Jaume; Valls, Claudia
2012
Centers and isochronous centers for two classes of generalized seventh and ninth systems. Zbl 1222.34032
Llibre, Jaume; Valls, Clàudia
2010
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Nondegenerate centers for Abel polynomial differential equations of second kind. Zbl 1378.34046
Giné, Jaume; Valls, Claudia
2017
Barreira, Luís; Dragičević, Davor; Valls, Claudia
2018
On the analytic integrability of the Liénard analytic differential systems. Zbl 1335.34004
Llibre, Jaume; Valls, Claudia
2016
Stable invariant manifolds for parabolic dynamics. Zbl 1175.34070
Barreira, Luis; Valls, Claudia
2009
Admissibility on the half line for evolution families. Zbl 1476.34131
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Limit cycles of discontinuous piecewise differential systems formed by linear centers in $$\mathbb{R}^2$$ and separated by two circles. Zbl 1468.34021
Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio
2021
Smooth linearization under nonuniform hyperbolicity. Zbl 1473.37023
Barreira, Luis; Valls, Claudia
2021
Polynomial differential systems with even degree have no global centers. Zbl 1480.34044
Llibre, Jaume; Valls, Claudia
2021
Integrability and zero-Hopf bifurcation in the Sprott A system. Zbl 1450.34018
Barreira, Luis; Llibre, Jaume; Valls, Claudia
2020
On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. Zbl 1465.34038
Demina, Maria V.; Valls, Claudia
2020
Regularity and stability sets for families of sequences of matrices. Zbl 1456.37030
Barreira, Luis; Valls, Claudia
2020
Limit cycles bifurcating of Kolmogorov systems in $$\mathbb{R}^2$$ and in $$\mathbb{R}^3$$. Zbl 1457.37067
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2020
Global dynamics of a Lotka-Volterra system in $$\mathbb{R}^3$$. Zbl 1436.37027
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2020
Robustness of hyperbolicity in delay equations. Zbl 1434.34062
Barreira, Luis; Valls, Claudia
2020
Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. Zbl 07492652
Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia
2020
Small-amplitude limit cycles of certain planar differential systems. Zbl 1447.34031
Giné, Jaume; Valls, Claudia
2020
Classification of invariant algebraic curves and nonexistence of algebraic limit cycles in quadratic systems from family $$(I)$$ of the Chinese classification. Zbl 1446.34047
Demina, Maria V.; Valls, Claudia
2020
On a conjecture on the integrability of Liénard systems. Zbl 1483.34008
Llibre, Jaume; Murza, Adrian C.; Valls, Claudia
2020
On the Abel differential equations of third kind. Zbl 1453.34044
Oliveira, Regilene; Valls, Cláudia
2020
On the global dynamics of a three-dimensional forced-damped differential system. Zbl 1436.34028
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2020
One-sided hyperbolicity via evolution maps. Zbl 1446.37035
Barreira, Luis; Valls, Claudia
2020
Equivalent notions of hyperbolicity. Zbl 1455.37030
Barreira, Luis; Valls, Claudia
2020
Rational limit cycles on Bernoulli and Riccati equations. Zbl 1448.34069
Valls, Clàudia
2020
Hyperbolicity via admissibility in delay equations. Zbl 1447.37039
Barreira, Luis; Valls, Claudia
2020
Nonlinear oscillations in the modified Leslie-Gower model. Zbl 1460.34053
Giné, Jaume; Valls, Claudia
2020
On the global dynamics and integrability of the chemostat system. Zbl 1440.34048
Martínez, Y. Paulina; Valls, Claudia
2020
Centers of planar generalized Abel equations. Zbl 1451.34031
Llibre, Jaume; Valls, Clàudia
2020
Nilpotent global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1436.34027
García-Saldaña, J. D.; Llibre, Jaume; Valls, Claudia
2020
Linear type global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1479.34059
García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia
2020
Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems. Zbl 1441.34002
Giné, Jaume; Valls, Claudia
2020
On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems. Zbl 1454.34055
Llibre, Jaume; Valls, Claudia
2020
Global phase portraits for a planar $$\mathbb Z_2$$-equivariant Kukles systems of degree 3. Zbl 1452.37031
Dias, Fabio Scalco; Ribeiro, Ronisio Moises; Valls, Claudia
2020
Periodic solutions and invariant torus in the Rössler system. Zbl 1472.34058
Cândido, Murilo R.; Novaes, Douglas D.; Valls, Claudia
2020
On the dynamics of the Rayleigh-Duffing oscillator. Zbl 1415.34059
Giné, Jaume; Valls, Claudia
2019
Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007
Giné, Jaume; Valls, Claudia
2019
On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072
Valls, Claudia
2019
Normal forms via nonuniform hyperbolicity. Zbl 1415.37021
Barreira, Luis; Valls, Claudia
2019
Two limit cycles in Liénard piecewise linear differential systems. Zbl 1481.34040
Llibre, Jaume; Ponce, Enrique; Valls, Clàudia
2019
Invariant algebraic surfaces and algebraic first integrals of the Maxwell-Bloch system. Zbl 1460.34060
Valls, Claudia
2019
Integrability of reversible and equivariant quadratic polynomial differential systems in the plane. Zbl 1421.34001
Llibre, Jaume; Valls, Claudia
2019
Conjugacies and invariant manifolds via evolution semigroups. Zbl 1442.37047
Barreira, Luis; Valls, Claudia
2019
General exponential dichotomies: from finite to infinite time. Zbl 1401.70017
Barreira, Luis; Valls, Claudia
2019
Liouvillian integrability of some quadratic Liénard polynomial differential systems. Zbl 1435.34008
Valls, Claudia
2019
$$C^k$$ invariant manifolds for infinite delay. Zbl 1426.37027
Barreira, Luis; Valls, Claudia
2019
The Liouvillian integrability of several oscillators. Zbl 1422.34003
Giné, Jaume; Valls, Claudia
2019
$$\mathbb{Z}_2$$-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers. Zbl 1418.37102
Scalco Dias, Fabio; Llibre, Jaume; Valls, Claudia
2019
Lyapunov regularity and triangularization for unbounded sequences. Zbl 1438.37017
Barreira, Luis; Valls, Claudia
2019
Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077
Bohner, Martin; Gasull, Armengol; Valls, Claudia
2019
Barreira, Luís; Dragičević, Davor; Valls, Claudia
2018
Simultaneity of centres in $$\mathbb{Z}_q$$-equivariant systems. Zbl 1402.34035
Giné, Jaume; Llibre, Jaume; Valls, Claudia
2018
Global phase portraits for the Abel quadratic polynomial differential equations of second kind with $$Z_2$$-symmetries. Zbl 1395.34037
Llibre, Jaume; Valls, Claudia
2018
Topological entropy of irregular sets. Zbl 1393.37017
Barreira, Luis; Li, Jinjun; Valls, Claudia
2018
Dynamics of the Higgins-Selkov and Selkov systems. Zbl 1415.34058
Artés, Joan Carles; Llibre, Jaume; Valls, Claudià
2018
Phase portraits of Abel quadratic differential systems of the second kind. Zbl 1402.34014
Ferragut, Antoni; Valls, Claudia
2018
On the global dynamics of a finance model. Zbl 1392.34029
Llibre, Jaume; Valls, Clàudia
2018
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers. Zbl 1484.37058
Dias, Fabio Scalco; Llibre, Jaume; Valls, Claudia
2018
The generalized polynomial Moon-Rand system. Zbl 1398.34046
Giné, Jaume; Valls, Claudia
2018
Phase portraits for some symmetric Riccati cubic polynomial differential equations. Zbl 1382.37020
Llibre, Jaume; Oliveira, Regilene; Valls, Claudia
2018
Algebraic limit cycles on quadratic polynomial differential systems. Zbl 1435.34033
Llibre, Jaume; Valls, Claudia
2018
Algebraic limit cycles for quadratic polynomial differential systems. Zbl 1426.34040
Llibre, Jaume; Valls, Claudia
2018
Algebraic traveling waves for the generalized viscous Burgers equation. Zbl 1403.35074
Valls, Claudia
2018
Stable invariant manifolds for delay equations with piecewise constant argument. Zbl 1395.34078
Barreira, Luis; Valls, Claudia
2018
Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve. Zbl 1394.34056
Llibre, Jaume; Valls, Claudia
2018
On the complete integrability of the Raychaudhuri differential system in $$\mathbb {R}^4$$ and of a CRNT model in $$\mathbb {R}^5$$. Zbl 1394.34005
Ferragut, Antoni; Valls, Claudia
2018
On two notions of exponential dichotomy. Zbl 1404.37025
Barreira, Luis; Valls, Claudia
2018
Invariant algebraic surfaces and Hopf bifurcation of a finance model. Zbl 1404.34056
Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia
2018
Algebraic travelling waves for the generalized Burgers-Fisher equation. Zbl 1461.34068
Valls, Claudia
2018
Periodic orbits of perturbed non-axially symmetric potentials in $$1:1:1$$ and $$1:1:2$$ resonances. Zbl 1403.37070
Corbera, Motserrat; Llibre, Jaume; Valls, Claudia
2018
Tempered exponential behavior for a dynamics in upper triangular form. Zbl 1413.37018
Barreira, Luis; Valls, Claudia
2018
Spectral theory for invertible cocycles under nonuniform hyperbolicity. Zbl 1393.37037
Barreira, Luis; Valls, Claudia
2018
Polynomial solutions of equivariant polynomial Abel differential equations. Zbl 1397.34006
Llibre, Jaume; Valls, Clàudia
2018
Integrability conditions for complex homogeneous kukles systems. Zbl 1417.34069
Giné, Jaume; Valls, Claudia
2018
Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension. Zbl 1398.34044
Barreira, Luis; Llibre, Jaume; Valls, Claudia
2018
Stable manifolds for perturbations of exponential dichotomies in mean. Zbl 1387.37031
Barreira, Luis; Valls, Claudia
2018
On the Liouville integrability of Edelstein’s reaction system in $$\mathbb R^3$$. Zbl 1390.34091
Ferragut, Antoni; Valls, Claudia; Wiuf, Carsten
2018
Transformations preserving the Lyapunov exponents. Zbl 1388.37035
Barreira, Luis; Valls, Claudia
2018
On the Darboux integrability of the Hindmarsh-Rose burster. Zbl 1393.34042
Llibre, Jaume; Valls, Clàudia
2018
Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1369.34057
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia
2017
Nonuniform spectrum on Banach spaces. Zbl 1378.37063
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Nondegenerate centers for Abel polynomial differential equations of second kind. Zbl 1378.34046
Giné, Jaume; Valls, Claudia
2017
Admissibility on the half line for evolution families. Zbl 1476.34131
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Center problem for trigonometric Liénard systems. Zbl 1371.34043
Gasull, Armengol; Giné, Jaume; Valls, Claudia
2017
On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity. Zbl 1395.37015
Llibre, Jaume; Valls, Claudia
2017
Centers for the Kukles homogeneous systems with even degree. Zbl 1456.34027
Gine, Jaume; Llibre, Jaume; Valls, Claudia
2017
Algebraic traveling waves for the generalized Newell-Whitehead-Segel equation. Zbl 1362.35073
Valls, Claudia
2017
Complete characterization of algebraic traveling wave solutions for the Boussinesq, Klein-Gordon and Benjamin-Bona-Mahony equations. Zbl 1373.35075
Valls, Claudia
2017
Lyapunov regularity via singular values. Zbl 1384.34018
Barreira, Luis; Valls, Claudia
2017
Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations. Zbl 1381.34063
Valls, Claudia
2017
Conservation laws in biochemical reaction networks. Zbl 1387.37077
Mahdi, Adam; Ferragut, Antoni; Valls, Claudia; Wiuf, Carsten
2017
On the bifurcation of limit cycles due to polynomial perturbations of Hamiltonian centers. Zbl 1375.34063
Colak, Ilker E.; Llibre, Jaume; Valls, Claudia
2017
Integrability conditions for complex Kukles systems. Zbl 1383.34051
Giné, Jaume; Valls, Claudia
2017
On the integrability of the 5-dimensional Lorenz system for the gravity-wave activity. Zbl 1353.37120
Llibre, Jaume; Valls, Clàudia
2017
Centers of weight-homogeneous polynomial vector fields on the plane. Zbl 1380.37043
Giné, Jaume; Llibre, Jaume; Valls, Claudia
2017
Relations between regularity coefficients. Zbl 1364.37046
Barreira, Luis; Valls, Claudia
2017
Existence of conjugacies and stable manifolds via suspensions. Zbl 1373.37084
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Nonuniform spectrum on the half line and perturbations. Zbl 1375.37089
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems. Zbl 1420.34055
Llibre, Jaume; Valls, Clàudia
2017
Spectrum of a nonautonomous dynamics for growth rates. Zbl 1399.37011
Barreira, Luis; Valls, Claudia
2017
Nonuniform exponential dichotomies and Lyapunov functions. Zbl 1381.37039
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Darboux polynomials, balances and Painlevé property. Zbl 1387.34001
Llibre, Jaume; Valls, Clàudia
2017
Limit cycles for a variant of a generalized Riccati equation. Zbl 1361.34031
Llibre, Jaume; Valls, Claudia
2017
Strong nonuniform spectrum for arbitrary growth rates. Zbl 1380.37037
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Generalized exponential behavior and topological equivalence. Zbl 1372.37045
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2017
Lyapunov type characterization of hyperbolic behavior. Zbl 1366.37079
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
On the Darboux integrability of a three-dimensional forced-damped differential system. Zbl 1420.37040
Llibre, Jaume; Oliveira, Regilene; Valls, Claudia
2017
...and 243 more Documents
all top 5

### Cited by 705 Authors

 264 Valls Anglés, Cláudia 148 Llibre, Jaume 140 Barreira, Luis Manuel 42 Dragičević, Davor 36 Giné, Jaume 21 Zhang, Xiang 15 Czornik, Adam 13 Xia, Yonghui 11 Li, Feng 11 Megan, Mihail 11 Vidal, Claudio 11 Zhang, Weinian 10 Oliveira, Regilene D. S. 10 Zhang, Jimin 9 Demina, Maria V. 9 Ferragut, Antoni 9 Niezabitowski, Michał 9 Popescu, Liviu Horia 9 Tang, Yilei 8 Chen, Hebai 8 Fan, Meng 8 Mahdi, Adam 8 O’Regan, Donal 8 Preda, Ciprian 8 Romanovskiĭ, Valeriĭ Georgievich 8 Sasu, Adina Luminiţa 8 Sasu, Bogdan 8 Silva, César M. 8 Tian, Yuzhou 7 Gasull, Armengol 7 Li, Jinjun 7 Li, Shimin 7 Liu, Yirong 7 Pantazi, Chara 6 Algaba, Antonio 6 Babiarz, Artur 6 Bento, António J. G. 6 Chu, Jifeng 6 Dias, Fabio Scalco 6 Liang, Haihua 6 Martínez, Y. Paulina 6 Preda, Petre 6 Shi, Shaoyun 6 Wei, Zhouchao 5 Babuţia, Mihai Gabriel 5 Bonotto, Everaldo M. 5 Castañeda, Alvaro 5 Corbera, Montserrat 5 Doan, Thai Son 5 Fernandes, Wilker 5 García, Isaac A. 5 Han, Maoan 5 Huang, Kaiyin 5 Huang, Wentao 5 Li, Wenlei 5 Ponce, Enrique 5 Robledo, Gonzalo 5 Sinelshchikov, Dmitry I. 5 Yu, Jiang 5 Yu, Pei 5 Zhu, Hailong 4 Aziz, Waleed 4 Barrio, Roberto 4 Bendjeddou, Ahmed 4 Ceauşu, Traian 4 Chen, Ting 4 Colak, Ilker E. 4 Delshams, Amadeu 4 Du, Chaoxiong 4 Ferčec, Brigita 4 Froeschlé, Claude 4 García, Cristóbal 4 Gutiérrez, Pere 4 Guzzo, Massimiliano 4 Huang, Jianfeng 4 Lăzureanu, Cristian 4 Lega, Elena 4 Liao, Fangfang 4 Lupa, Nicolae 4 Maza, Susanna 4 Nakano, Yushi 4 Nawrat, Aleksander Michał 4 Palacián, Jesús F. 4 Palmer, Kenneth James 4 Poláčik, Peter 4 Siegmund, Stefan 4 Tkachenko, Victor Ivanovich 4 Valdebenito, Darío A. 4 Vera, Juan A. 4 Vidarte, Jhon 4 Yanguas, Patricia 4 Zhang, Wenmeng 4 Zhou, Linfeng 3 Backes, Lucas H. 3 Bai, Yuzhen 3 Balsas, M. C. 3 Benterki, Rebiha 3 Berbache, Aziza 3 Blesa, Fernando 3 Borisov, Alekseĭ Vladimirovich ...and 605 more Authors
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### Cited in 174 Serials

 73 Journal of Differential Equations 46 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 42 Journal of Mathematical Analysis and Applications 27 Qualitative Theory of Dynamical Systems 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Journal of Dynamics and Differential Equations 22 Journal of Mathematical Physics 20 Chaos, Solitons and Fractals 20 Bulletin des Sciences Mathématiques 20 Journal of Nonlinear Mathematical Physics 19 Applied Mathematics and Computation 17 Discrete and Continuous Dynamical Systems. Series B 16 Discrete and Continuous Dynamical Systems 16 Nonlinear Dynamics 16 Dynamical Systems 15 Nonlinear Analysis. Real World Applications 12 Journal of Difference Equations and Applications 11 Proceedings of the American Mathematical Society 11 Physica D 11 Applied Mathematics Letters 10 Communications in Nonlinear Science and Numerical Simulation 9 Regular and Chaotic Dynamics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Geometry and Physics 8 Journal of Functional Analysis 8 Ergodic Theory and Dynamical Systems 8 Journal of Nonlinear Science 8 Abstract and Applied Analysis 8 Mediterranean Journal of Mathematics 8 Advances in Difference Equations 8 Journal of Applied Analysis and Computation 7 Communications in Mathematical Physics 7 Electronic Journal of Differential Equations (EJDE) 7 Advanced Nonlinear Studies 7 Communications on Pure and Applied Analysis 6 Advances in Mathematics 6 Journal of Computational and Applied Mathematics 6 Acta Mathematica Sinica. English Series 6 Journal of Dynamical and Control Systems 5 Physics Letters. A 5 Linear Algebra and its Applications 5 Milan Journal of Mathematics 5 SIAM Journal on Applied Dynamical Systems 4 Applicable Analysis 4 Computers & Mathematics with Applications 4 Journal of Statistical Physics 4 Archiv der Mathematik 4 Automatica 4 Integral Equations and Operator Theory 4 Monatshefte für Mathematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Results in Mathematics 4 Journal of Mathematical Sciences (New York) 4 Chaos 4 Discrete Dynamics in Nature and Society 4 Communications in Contemporary Mathematics 3 Nonlinearity 3 Periodica Mathematica Hungarica 3 Journal of the Korean Mathematical Society 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Quaestiones Mathematicae 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 Topological Methods in Nonlinear Analysis 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the Brazilian Mathematical Society. New Series 3 International Journal of Geometric Methods in Modern Physics 3 Advances in Mathematical Physics 3 Journal of Siberian Federal University. Mathematics & Physics 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Journal of Pure and Applied Algebra 2 Mathematika 2 Semigroup Forum 2 Transactions of the American Mathematical Society 2 Journal of Symbolic Computation 2 International Journal of Mathematics 2 Aequationes Mathematicae 2 International Journal of Computer Mathematics 2 Expositiones Mathematicae 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 Annales Henri Poincaré 2 Differential Equations 2 Applied Mathematics E-Notes 2 Analysis and Applications (Singapore) ...and 74 more Serials
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### Cited in 41 Fields

 555 Ordinary differential equations (34-XX) 423 Dynamical systems and ergodic theory (37-XX) 77 Mechanics of particles and systems (70-XX) 60 Difference and functional equations (39-XX) 50 Partial differential equations (35-XX) 41 Operator theory (47-XX) 39 Biology and other natural sciences (92-XX) 38 Systems theory; control (93-XX) 15 Numerical analysis (65-XX) 13 Relativity and gravitational theory (83-XX) 11 Measure and integration (28-XX) 9 General topology (54-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Probability theory and stochastic processes (60-XX) 7 Differential geometry (53-XX) 7 Information and communication theory, circuits (94-XX) 6 Number theory (11-XX) 6 Quantum theory (81-XX) 5 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 4 Astronomy and astrophysics (85-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

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