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## Valls Anglés, Cláudia

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 Author ID: valls.claudia Published as: Valls, C.; Valls, Claudia; Valls, Claudià; Valls, Clàudia; Valls, Clàudìa; Valls, Cláudia External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND
 Documents Indexed: 467 Publications since 1998, including 11 Books
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#### Co-Authors

 47 single-authored 217 Barreira, Luis Manuel 157 Llibre, Jaume 32 Dragičević, Davor 26 Giné, Jaume 10 Mahdi, Adam 9 Oliveira, Regilene D. S. 7 Popescu, Liviu Horia 6 Colak, Ilker E. 6 Ferragut, Antoni 6 Paşca, Daniel 5 Li, Jinjun 4 Corbera, Montserrat 4 Dias, Fabio Scalco 4 Fan, Meng 4 Martínez, Y. Paulina 4 Zhang, Jimin 3 Bolaños, Yudy 3 Cândido, Murilo R. 3 García-Saldaña, Johanna D. 3 Gasull, Armengol 3 Gomes, Diogo Luís Aguiar 3 Silva, César M. 2 Chu, Jifeng 2 Demina, Maria V. 2 García, Isaac A. 2 Ponce, Enrique 2 Pumariño, Antonio 2 Rijo, João 2 Simó, Carles 2 Stoica, Cristina 2 Wiuf, Carsten 2 Zhang, Xiang 1 Artés, Joan Carles 1 Bohner, Martin J. 1 de la Fuente, Alex 1 Diz-Pita, Érika 1 Ginoux, Jean-Marc 1 Murza, Adrian Calin 1 Novaes, Douglas Duarte 1 Otero-Espinar, Maria Victoria 1 Ribeiro, Ronisio Moises 1 Silva Lima, Mauricio Firmino 1 Teruel, Antonio E.
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#### Serials

 33 Journal of Differential Equations 17 Journal of Mathematical Physics 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Discrete and Continuous Dynamical Systems 17 Journal of Nonlinear Mathematical Physics 16 Journal of Mathematical Analysis and Applications 13 Bulletin des Sciences Mathématiques 12 Chaos, Solitons and Fractals 12 Dynamical Systems 11 Journal of Geometry and Physics 11 Journal of Dynamics and Differential Equations 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Electronic Journal of Differential Equations (EJDE) 9 Advanced Nonlinear Studies 8 Proceedings of the American Mathematical Society 7 Qualitative Theory of Dynamical Systems 6 Physica D 6 Electronic Journal of Qualitative Theory of Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 São Paulo Journal of Mathematical Sciences 5 Communications in Mathematical Physics 5 Nonlinearity 5 Rocky Mountain Journal of Mathematics 5 Journal of Functional Analysis 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Nonlinear Dynamics 5 Communications in Contemporary Mathematics 5 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Analysis 4 Physics Letters. A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Applied Mathematics Letters 4 Topological Methods in Nonlinear Analysis 4 Milan Journal of Mathematics 4 Mediterranean Journal of Mathematics 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 Quaestiones Mathematicae 3 Results in Mathematics 3 Ergodic Theory and Dynamical Systems 3 Journal of Physics A: Mathematical and General 3 Journal of Nonlinear Science 3 Mathematical Physics, Analysis and Geometry 3 Regular and Chaotic Dynamics 3 Acta Mathematica Sinica. English Series 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 Aequationes Mathematicae 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Difference Equations and Applications 2 Journal of Mathematical Chemistry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Dynamical and Control Systems 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 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 Revista Matemática Iberoamericana 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 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 27 more Serials
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#### Fields

 318 Ordinary differential equations (34-XX) 233 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of particles and systems (70-XX) 25 Difference and functional equations (39-XX) 22 Partial differential equations (35-XX) 22 Operator theory (47-XX) 20 Biology and other natural sciences (92-XX) 8 Relativity and gravitational theory (83-XX) 5 Measure and integration (28-XX) 5 Fluid mechanics (76-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 Astronomy and astrophysics (85-XX) 2 Functions of a complex variable (30-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-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

295 Publications have been cited 1,498 times in 746 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
Stability theory and Lyapunov regularity. Zbl 1184.37022
Barreira, Luis; Valls, Claudia
2007
Stable manifolds for nonautonomous equations without exponential dichotomy. Zbl 1098.34036
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
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
Nonuniform exponential dichotomies and Lyapunov regularity. Zbl 1123.34040
Barreira, Luis; Valls, Claudia
2007
Integrability of the Bianchi IX system. Zbl 1110.37045
Llibre, Jaume; Valls, Clàudia
2005
Polynomial growth rates. Zbl 1181.34046
Barreira, Luis; Valls, Claudia
2009
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
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
Global analytic first integrals for the real planar Lotka-Volterra system. Zbl 1137.34329
Llibre, Jaume; Valls, Clàudia
2007
Nonuniform exponential dichotomies and admissibility. Zbl 1221.34141
Barreira, Luís; Valls, Claudia
2011
Rikitake system: analytic and Darbouxian integrals. Zbl 1098.34028
Valls, Claudia
2005
Admissibility for nonuniform exponential contractions. Zbl 1228.34090
Barreira, Luis; Valls, Claudia
2010
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
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
Lyapunov regularity of impulsive differential equations. Zbl 1206.34073
Barreira, Luis; Valls, Claudia
2010
Conjugacies for linear and nonlinear perturbations of nonuniform behavior. Zbl 1127.37030
Barreira, Luis; Valls, Claudia
2007
Stability of nonautonomous differential equations in Hilbert spaces. Zbl 1088.34053
Barreira, Luis; Valls, Claudia
2005
Irregular sets are residual. Zbl 1376.37032
Barreira, Luis; Li, Jinjun; Valls, Claudia
2014
Darboux integrability of the Lü system. Zbl 1263.34018
Llibre, Jaume; Mahdi, Adam; Valls, Clàudia
2013
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
Classification of the centers and isochronous centers for a class of quartic-like systems. Zbl 1201.34051
Llibre, Jaume; Valls, Clàudia
2009
Robustness of nonuniform exponential trichotomies in Banach spaces. Zbl 1202.34105
Barreira, Luis; Valls, Claudia
2009
Formal and analytic integrability of the Lorenz system. Zbl 1074.34005
Llibre, Jaume; Valls, Clàudia
2005
Lyapunov functions for general nonuniform dichotomies. Zbl 1273.34057
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2013
Invariant algebraic surfaces for generalized Raychaudhuri equations. Zbl 1252.83073
Valls, Claudia
2011
Liouvillian first integrals for Liénard polynomial differential systems. Zbl 1196.37107
Llibre, J.; Valls, C.
2010
Robustness of general dichotomies. Zbl 1175.34068
Barreira, Luis; Valls, Claudia
2009
Hopf bifurcation for some analytic differential systems in $$\mathbb R^3$$ via averaging theory. Zbl 1218.37066
Llibre, Jaume; Valls, Clàudia
2011
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
On the integrability of the Einstein-Yang-Mills equations. Zbl 1124.83005
Llibre, Jaume; Valls, Clàudia
2007
Centers for the Kukles homogeneous systems with odd degree. Zbl 1323.34039
Giné, Jaume; Llibre, Jaume; Valls, Claudia
2015
Nonuniform hyperbolicity and admissibility. Zbl 1332.37024
Barreira, Luis; Valls, Claudia; Dragičević, Davor
2014
Strong and weak $$(L^p, L^q)$$-admissibility. Zbl 1327.34097
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Robustness of nonuniform dichotomies with different growth rates. Zbl 1272.34067
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2011
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
Quadratic Lyapunov functions and nonuniform exponential dichotomies. Zbl 1165.34030
Barreira, Luis; Valls, Claudia
2009
Darboux integrability and algebraic invariant surfaces for the Rikitake system. Zbl 1153.81395
Llibre, Jaume; Valls, Clàudia
2008
Hölder Grobman-Hartman linearization. Zbl 1120.37013
Barreira, Luis; Valls, Claudia
2007
Smooth center manifolds for nonuniformly partially hyperbolic trajectories. Zbl 1114.34038
Barreira, Luis; Valls, Claudia
2007
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
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
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
Robustness of nonuniform polynomial dichotomies for difference equations. Zbl 1229.93042
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2011
Stable manifolds for impulsive equations under nonuniform hyperbolicity. Zbl 1216.34037
Barreira, Luis; Valls, Claudia
2010
Lyapunov functions for trichotomies with growth rates. Zbl 1197.34094
Barreira, Luis; Valls, Claudia
2010
Quasiperiodic solutions for dissipative Boussinesq systems. Zbl 1122.37054
Valls, Claudia
2006
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
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
Liouvillian first integrals for generalized Liénard polynomial differential systems. Zbl 1369.34003
Llibre, Jaume; Valls, Clàudia
2013
Limit cycles for a generalization of polynomial Liénard differential systems. Zbl 1258.34060
Llibre, Jaume; Valls, Clàudia
2013
On the number of limit cycles of a class of polynomial differential systems. Zbl 1371.34044
Llibre, Jaume; Valls, Clàudia
2012
Ordinary differential equations. Qualitative theory. Transl. from the Portuguese by the authors. Zbl 1264.34001
Barreira, Luis; Valls, Claudia
2012
Smooth robustness of exponential dichotomies. Zbl 1216.39019
Barreira, Luis; Valls, Claudia
2011
Analytic integrability of quadratic-linear polynomial differential systems. Zbl 1213.37099
Llibre, Jaume; Valls, Clàudia
2011
Nonuniform behavior and robustness. Zbl 1172.37013
Barreira, L.; Silva, C.; Valls, C.
2009
Formal and analytic integrability of the Rössler system. Zbl 1185.37038
Llibre, Jaume; Valls, Clàudia
2007
From one-sided dichotomies to two-sided dichotomies. Zbl 1366.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Exponential dichotomies with respect to a sequence of norms and admissibility. Zbl 1353.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Polynomial first integrals for the Chen and Lü systems. Zbl 1258.34009
Llibre, Jaume; Valls, Claudia
2012
Integrability of the Nosé-Hoover equation. Zbl 1221.34004
2011
Robust nonuniform dichotomies and parameter dependence. Zbl 1226.37013
Barreira, Luis; Valls, Claudia
2011
Centers and isochronous centers for two classes of generalized seventh and ninth systems. Zbl 1222.34032
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
Smooth robustness of parameterized perturbations of exponential dichotomies. Zbl 1204.39002
Barreira, Luis; Valls, Claudia
2010
Robustness for impulsive equations. Zbl 1194.34101
Barreira, Luis; Valls, Claudia
2010
Lyapunov sequences for exponential trichotomies. Zbl 1191.37019
Barreira, Luis; Valls, Claudia
2010
Parameter dependence of stable manifolds under nonuniform hyperbolicity. Zbl 1177.37031
Barreira, Luis; Valls, Claudia
2009
Nonuniform exponential contractions and Lyapunov sequences. Zbl 1173.37029
Barreira, Luis; Valls, Claudia
2009
Stability in delay difference equations with nonuniform exponential behavior. Zbl 1129.39001
Barreira, Luis; Valls, Claudia
2007
Formal and analytical integrability of the Bianchi IX system. Zbl 1111.37043
Llibre, Jaume; Valls, Clàudìa
2006
Existence of quasi-periodic solutions for elliptic equations on a cylindrical domain. Zbl 1130.35059
Valls, Claudia
2006
Nonuniform spectrum on Banach spaces. Zbl 1378.37063
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Center problem for trigonometric Liénard systems. Zbl 1371.34043
Gasull, Armengol; Giné, Jaume; Valls, Claudia
2017
Integrability conditions of a resonant saddle in Liénard-like complex systems. Zbl 1355.34056
Giné, Jaume; Valls, Claudia
2016
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
On the analytic integrability of the Liénard analytic differential systems. Zbl 1335.34004
Llibre, Jaume; Valls, Claudia
2016
The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004
Llibre, Jaume; Valls, Claudia; Zhang, Xiang
2015
Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4. Zbl 1314.37040
Llibre, Jaume; Mahdi, Adam; Valls, Claudia
2011
Liouvillian first integrals of quadratic-linear polynomial differential systems. Zbl 1217.34003
Llibre, Jaume; Valls, Clàudia
2011
Liouvillian integrability of the FitzHugh-Nagumo systems. Zbl 1207.34006
Llibre, Jaume; Valls, Clàudia
2010
Analytic first integrals of the FitzHugh-Nagumo systems. Zbl 1194.92014
Llibre, Jaume; Valls, Clàudia
2009
Stable invariant manifolds for parabolic dynamics. Zbl 1175.34070
Barreira, Luis; Valls, Claudia
2009
Robustness via Lyapunov functions. Zbl 1192.34063
Barreira, Luis; Valls, Claudia
2009
Stability in nonautonomous dynamics: a survey of recent results. Zbl 1184.34001
Barreira, Luis; Valls, Claudia
2007
Multifractal structure of two-dimensional horseshoes. Zbl 1113.37012
Barreira, Luis; Valls, Claudia
2006
The Boussinesq system: dynamics on the center manifold. Zbl 1090.35149
Valls, Claudia
2005
On the dynamics of the Rayleigh-Duffing oscillator. Zbl 1415.34059
Giné, Jaume; Valls, Claudia
2019
Barreira, Luís; Dragičević, Davor; Valls, Claudia
2018
Admissibility on the half line for evolution families. Zbl 06790284
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
Tempered exponential dichotomies and Lyapunov exponents for perturbations. Zbl 1358.37094
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
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
On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. Zbl 07316379
Demina, Maria V.; Valls, Claudia
2020
Rational limit cycles on Bernoulli and Riccati equations. Zbl 1448.34069
Valls, Clàudia
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
Robustness of hyperbolicity in delay equations. Zbl 1434.34062
Barreira, Luis; Valls, Claudia
2020
On the global dynamics and integrability of the chemostat system. Zbl 1440.34048
Martínez, Y. Paulina; 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 07107729
Giné, Jaume; Valls, Claudia
2019
Liouvillian integrability of some quadratic Liénard polynomial differential systems. Zbl 1435.34008
Valls, Claudia
2019
Two limit cycles in Liénard piecewise linear differential systems. Zbl 07114592
Llibre, Jaume; Ponce, Enrique; Valls, Clàudia
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
On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072
Valls, Claudia
2019
$$C^k$$ invariant manifolds for infinite delay. Zbl 1426.37027
Barreira, Luis; Valls, Claudia
2019
Conjugacies and invariant manifolds via evolution semigroups. Zbl 1442.37047
Barreira, Luis; Valls, Claudia
2019
Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077
Bohner, Martin; Gasull, Armengol; Valls, Claudia
2019
General exponential dichotomies: from finite to infinite time. Zbl 1401.70017
Barreira, Luis; 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
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
Topological entropy of irregular sets. Zbl 1393.37017
Barreira, Luis; Li, Jinjun; 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
The generalized polynomial Moon-Rand system. Zbl 1398.34046
Giné, Jaume; Valls, Claudia
2018
Tempered exponential behavior for a dynamics in upper triangular form. Zbl 1413.37018
Barreira, Luis; 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
Invariant algebraic surfaces and Hopf bifurcation of a finance model. Zbl 1404.34056
Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia
2018
On two notions of exponential dichotomy. Zbl 1404.37025
Barreira, Luis; Valls, Claudia
2018
Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension. Zbl 1398.34044
Barreira, Luis; Llibre, Jaume; Valls, Claudia
2018
Integrability conditions for complex homogeneous kukles systems. Zbl 1417.34069
Giné, Jaume; 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
Stable manifolds for perturbations of exponential dichotomies in mean. Zbl 1387.37031
Barreira, Luis; Valls, Claudia
2018
Stable invariant manifolds for delay equations with piecewise constant argument. Zbl 1395.34078
Barreira, Luis; Valls, Claudia
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
Center problem for trigonometric Liénard systems. Zbl 1371.34043
Gasull, Armengol; Giné, Jaume; Valls, Claudia
2017
Admissibility on the half line for evolution families. Zbl 06790284
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
Algebraic traveling waves for the generalized Newell-Whitehead-Segel equation. Zbl 1362.35073
Valls, Claudia
2017
Centers for the Kukles homogeneous systems with even degree. Zbl 1456.34027
Gine, Jaume; Llibre, Jaume; Valls, Claudia
2017
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems. Zbl 1420.34055
Llibre, Jaume; Valls, Clàudia
2017
Conservation laws in biochemical reaction networks. Zbl 1387.37077
Mahdi, Adam; Ferragut, Antoni; Valls, Claudia; Wiuf, Carsten
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
Lyapunov regularity via singular values. Zbl 1384.34018
Barreira, Luis; Valls, Claudia
2017
Nonuniform spectrum on the half line and perturbations. Zbl 1375.37089
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Existence of conjugacies and stable manifolds via suspensions. Zbl 1373.37084
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Integrability conditions for complex Kukles systems. Zbl 1383.34051
Giné, Jaume; Valls, Claudia
2017
Relations between regularity coefficients. Zbl 1364.37046
Barreira, Luis; Valls, Claudia
2017
Centers of weight-homogeneous polynomial vector fields on the plane. Zbl 1380.37043
Giné, Jaume; Llibre, Jaume; 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
Nonuniform exponential dichotomies and Lyapunov functions. Zbl 1381.37039
Barreira, Luis; Dragičević, Davor; 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
Algebraic traveling waves for some family of reaction-diffusion equations including the Nagumo equations. Zbl 1381.34063
Valls, Claudia
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
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
Strong nonuniform spectrum for arbitrary growth rates. Zbl 1380.37037
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Limit cycles for a variant of a generalized Riccati equation. Zbl 1361.34031
Llibre, Jaume; Valls, Claudia
2017
Integrability conditions of a resonant saddle in Liénard-like complex systems. Zbl 1355.34056
Giné, Jaume; Valls, Claudia
2016
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
On the analytic integrability of the Liénard analytic differential systems. Zbl 1335.34004
Llibre, Jaume; Valls, Claudia
2016
Tempered exponential dichotomies and Lyapunov exponents for perturbations. Zbl 1358.37094
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Irregular sets of two-sided Birkhoff averages and hyperbolic sets. Zbl 1361.37009
Barreira, Luis; Li, Jinjun; Valls, Claudia
2016
Characterization of nonuniform exponential trichotomies for flows. Zbl 1373.37092
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
The three-dimensional center problem for the zero-Hopf singularity. Zbl 1366.37051
Valls, Claudia; García, Isaac
2016
Center problem in the center manifold for quadratic differential systems in $$\mathbb{R}^3$$. Zbl 1333.34043
Giné, Jaume; Valls, Claudia
2016
Liouvillian integrability versus Darboux polynomials. Zbl 1364.34016
Llibre, Jaume; Valls, Claudia; Zhang, Xiang
2016
On the Darboux integrability of a cubic CRN model in $$\mathbb R^5$$. Zbl 1355.34031
Ferragut, Antoni; Valls, Claudia
2016
Hyperbolic sequences of linear operators and evolution maps. Zbl 06679175
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2016
Robustness for stable impulsive equations via quadratic Lyapunov functions. Zbl 1347.34025
Barreira, Luis; Valls, Claudia
2016
Lyapunov’s coefficient of regularity and nonuniform hyperbolicity. Zbl 1359.37054
Barreira, Luis; Valls, Claudia
2016
Nonautonomous dynamics with discrete time and topological equivalence. Zbl 1362.37050
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2016
Darboux integrability of generalized Yang-Mills Hamiltonian system. Zbl 1420.37037
Llibre, Jaume; Valls, Claudia
2016
Exponential dichotomies in average for flows and admissibility. Zbl 1399.37016
Barreira, L.; Dragiçević, D.; Valls, C.
2016
Liouvillian first integrals for a class of generalized Liénard polynomial differential systems. Zbl 1362.34006
Llibre, Jaume; Valls, Clàudia
2016
Exponential dichotomies for impulsive equations via quadratic functions. Zbl 1357.34091
Barreira, Luis; Valls, Claudia
2016
Characterization of nonuniform contractions and expansions with growth rates. Zbl 1352.37051
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Evolution families and nonuniform spectrum. Zbl 1363.37014
Barreira, Luis; Valls, Claudia
2016
Nonuniform hyperbolicity and one-sided admissibility. Zbl 1417.37119
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Analytic integrability of cubic-linear planar polynomial differential systems. Zbl 1337.34004
Giné, Jaume; Valls, Claudia
2016
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
Centers for the Kukles homogeneous systems with odd degree. Zbl 1323.34039
Giné, Jaume; Llibre, Jaume; Valls, Claudia
2015
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
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
From one-sided dichotomies to two-sided dichotomies. Zbl 1366.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004
Llibre, Jaume; Valls, Claudia; Zhang, Xiang
2015
Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities. Zbl 1348.34064
Giné, Jaume; Valls, Claudia
2015
Liouvillian first integrals for generalized Riccati polynomial differential systems. Zbl 1335.34005
Llibre, Jaume; Valls, Claudia
2015
The co-circular central configurations of the 5-body problem. Zbl 1391.70030
Llibre, Jaume; Valls, Claudia
2015
Center problem in the center manifold for quadratic and cubic differential systems in $$\mathbb{R}^3$$. Zbl 1328.34029
Valls, Claudia
2015
Invariant algebraic surfaces for a virus dynamics. Zbl 1327.34082
Valls, Claudia
2015
Characterization of strong exponential dichotomies. Zbl 1370.37059
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
A Perron-type theorem for nonautonomous differential equations. Zbl 1312.34089
Barreira, Luis; Valls, Claudia
2015
Centers and isochronous centers for generalized quintic systems. Zbl 1309.34040
Giné, Jaume; Llibre, Jaume; Valls, Claudia
2015
First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems. Zbl 1321.34002
Llibre, Jaume; Valls, Clàudia
2015
The generalized Liénard polynomial differential systems $$x^\prime = y$$, $$y^\prime = - g(x) - f(x) y$$ with $$\deg g = \deg f + 1$$ are not Liouvillian integrable. Zbl 1406.34045
Llibre, Jaume; Valls, Clàudia
2015
Admissibility and nonuniform exponential trichotomies. Zbl 1339.37024
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Admissibility for exponential dichotomies in average. Zbl 1351.37211
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Robustness of noninvertible dichotomies. Zbl 1347.34090
Barreira, Luis; Valls, Claudia
2015
Hopf bifurcation of a generalized Moon-Rand system. Zbl 1334.37046
Llibre, Jaume; Valls, Clàudia
2015
...and 195 more Documents
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#### Cited by 634 Authors

 245 Valls Anglés, Cláudia 130 Barreira, Luis Manuel 129 Llibre, Jaume 39 Dragičević, Davor 32 Giné, Jaume 19 Zhang, Xiang 13 Czornik, Adam 11 Megan, Mihail 11 Xia, Yonghui 10 Li, Feng 10 Vidal, Claudio 10 Zhang, Jimin 10 Zhang, Weinian 9 Ferragut, Antoni 9 Niezabitowski, Michał 9 Popescu, Liviu Horia 8 Fan, Meng 8 Mahdi, Adam 8 Oliveira, Regilene D. S. 8 Preda, Ciprian 8 Romanovski, Valery G. 7 Li, Jinjun 7 Liu, Yirong 7 O’Regan, Donal 7 Sasu, Adina Luminiţa 7 Sasu, Bogdan 7 Silva, César M. 6 Bento, António J. G. 6 Gasull, Armengol 6 Li, Shimin 6 Martínez, Y. Paulina 6 Preda, Petre 6 Tang, Yilei 6 Wei, Zhouchao 5 Algaba, Antonio 5 Babiarz, Artur 5 Babuţia, Mihai Gabriel 5 Bonotto, Everaldo M. 5 Castañeda, Alvaro 5 Chen, Hebai 5 Chu, Jifeng 5 Demina, Maria V. 5 Fernandes, Wilker 5 García, Isaac A. 5 Huang, Kaiyin 5 Liang, Haihua 5 Pantazi, Chara 5 Ponce, Enrique 5 Robledo, Gonzalo 5 Shi, Shaoyun 5 Yu, Pei 4 Barrio, Roberto 4 Ceauşu, Traian 4 Chen, Ting 4 Colak, Ilker E. 4 Delshams, Amadeu 4 Dias, Fabio Scalco 4 Ferčec, Brigita 4 Froeschlé, Claude 4 Gutiérrez, Pere 4 Guzzo, Massimiliano 4 Huang, Wentao 4 Lega, Elena 4 Li, Wenlei 4 Lupa, Nicolae 4 Maza, Susanna 4 Nawrat, Aleksander Michał 4 Palacián, Jesús F. 4 Tkachenko, Victor Ivanovich 4 Vera, Juan A. 4 Vidarte, Jhon 4 Wu, Min 4 Yanguas, Patricia 4 Yu, Jiang 4 Zhu, Hailong 3 Balsas, M. C. 3 Benterki, Rebiha 3 Blesa, Fernando 3 Borisov, Alekseĭ Vladimirovich 3 Boukoucha, Rachid 3 Chang, Xiaoyuan 3 Chen, Xingwu 3 Chèze, Guillaume 3 Corbera, Montserrat 3 Doan, Thai Son 3 Du, Chaoxiong 3 Dukarić, Maša 3 Elmandouh, A. A. 3 Euzébio, Rodrigo D. 3 Ferrer, Sebastián 3 García-Saldaña, Johanna D. 3 García, Cristóbal 3 Geng, Xianguo 3 Gîrban, Anania 3 Gonchenko, Marina S. 3 Han, Maoan 3 He, Guoliang 3 Hua, Ni 3 Huang, Jianfeng 3 Jiang, Fangfang ...and 534 more Authors
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#### Cited in 154 Serials

 64 Journal of Differential Equations 40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 37 Journal of Mathematical Analysis and Applications 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Qualitative Theory of Dynamical Systems 23 Journal of Dynamics and Differential Equations 21 Journal of Mathematical Physics 20 Journal of Nonlinear Mathematical Physics 19 Bulletin des Sciences Mathématiques 18 Applied Mathematics and Computation 16 Nonlinear Dynamics 15 Discrete and Continuous Dynamical Systems 13 Chaos, Solitons and Fractals 11 Dynamical Systems 10 Proceedings of the American Mathematical Society 10 Nonlinear Analysis. Real World Applications 10 Discrete and Continuous Dynamical Systems. Series B 9 Applied Mathematics Letters 9 Journal of Difference Equations and Applications 8 Journal of Functional Analysis 8 Abstract and Applied Analysis 8 Regular and Chaotic Dynamics 7 Communications in Mathematical Physics 7 Ergodic Theory and Dynamical Systems 7 Physica D 7 Journal of Nonlinear Science 7 Electronic Journal of Differential Equations (EJDE) 7 Advanced Nonlinear Studies 7 Advances in Difference Equations 7 Journal of Applied Analysis and Computation 6 Physics Letters. A 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Geometry and Physics 6 Journal of Computational and Applied Mathematics 6 Linear Algebra and its Applications 6 Communications in Nonlinear Science and Numerical Simulation 6 Communications on Pure and Applied Analysis 6 Mediterranean Journal of Mathematics 5 Advances in Mathematics 5 SIAM Journal on Applied Dynamical Systems 4 Computers & Mathematics with Applications 4 Journal of Statistical Physics 4 Archiv der Mathematik 4 Integral Equations and Operator Theory 4 Monatshefte für Mathematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Chaos 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Sinica. English Series 4 Journal of Dynamical and Control Systems 4 Milan Journal of Mathematics 3 Applicable Analysis 3 Periodica Mathematica Hungarica 3 Automatica 3 Mathematische Zeitschrift 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Results in Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Mathematical Sciences (New York) 3 Communications in Contemporary Mathematics 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 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 the Korean Mathematical Society 2 Journal of Pure and Applied Algebra 2 Mathematics and Computers in Simulation 2 Mathematika 2 Quaestiones Mathematicae 2 Semigroup Forum 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Systems & Control Letters 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 International Journal of Mathematics 2 Aequationes 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 Analysis and Applications (Singapore) 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Journal of Operators ...and 54 more Serials
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#### Cited in 40 Fields

 475 Ordinary differential equations (34-XX) 365 Dynamical systems and ergodic theory (37-XX) 68 Mechanics of particles and systems (70-XX) 54 Difference and functional equations (39-XX) 43 Partial differential equations (35-XX) 41 Operator theory (47-XX) 34 Systems theory; control (93-XX) 31 Biology and other natural sciences (92-XX) 14 Numerical analysis (65-XX) 12 Relativity and gravitational theory (83-XX) 9 Measure and integration (28-XX) 9 Probability theory and stochastic processes (60-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General topology (54-XX) 7 Information and communication theory, circuits (94-XX) 6 Differential geometry (53-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 Number theory (11-XX) 4 Algebraic geometry (14-XX) 4 Astronomy and astrophysics (85-XX) 3 Commutative algebra (13-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-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) 1 Operations research, mathematical programming (90-XX)

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