Edit Profile (opens in new tab) Valls Anglés, Cláudia Co-Author Distance 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: 550 Publications since 1998, including 12 Books and 1 Additional arXiv Preprint Co-Authors: 52 Co-Authors with 496 Joint Publications 1,282 Co-Co-Authors all top 5 Co-Authors 54 single-authored 239 Barreira, Luis Manuel 197 Llibre, Jaume 32 Dragičević, Davor 30 Giné, Jaume 11 Oliveira, Regilene D. S. 10 Mahdi, Adam 8 Corbera, Montserrat 7 Dias, Fabio Scalco 7 Paşca, Daniel 7 Popescu, Liviu Horia 6 Colak, Ilker E. 6 Ferragut, Antoni 5 Cândido, Murilo R. 5 Li, Jinjun 4 Fan, Meng 4 García-Saldaña, Johanna D. 4 Gasull, Armengol 4 Martínez, Y. Paulina 4 Zhang, Jimin 3 Anacleto, Maria Elisa 3 Bolaños, Yudy 3 Demina, Maria V. 3 Gomes, Diogo Luís Aguiar 3 Silva, César M. 3 Vidal, Claudio 2 Chu, Jifeng 2 Esteban, Marina 2 García, Isaac A. 2 Novaes, Douglas Duarte 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 Artés, Joan Carles 1 Bohner, Martin J. 1 de la Fuente, Alex 1 Diz-Pita, Érika 1 Ginoux, Jean-Marc 1 Holanda, Carllos 1 Jimenez, Johana 1 Khajoei, Najmeh 1 Mello, Luis Fernando O. 1 Murza, Adrian Calin 1 Otero-Espinar, Maria Victoria 1 Schlomiuk, Dana I. 1 Silva Lima, Mauricio Firmino 1 Teruel, Antonio E. 1 Travaglini, Ana Maria all top 5 Serials 36 Journal of Differential Equations 19 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 17 Dynamical Systems 15 Journal of Dynamics and Differential Equations 15 Bulletin des Sciences Mathématiques 14 Chaos, Solitons and Fractals 14 Journal of Geometry and Physics 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Electronic Journal of Differential Equations (EJDE) 10 Electronic Journal of Qualitative Theory of Differential Equations 10 Nonlinear Analysis. Real World Applications 9 Proceedings of the American Mathematical Society 9 Qualitative Theory of Dynamical Systems 9 Advanced Nonlinear Studies 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 Edinburgh Mathematical Society. Series II 5 Quaestiones Mathematicae 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Results in Mathematics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Topological Methods in Nonlinear Analysis 5 Journal of Difference Equations and Applications 5 Nonlinear Dynamics 5 Mathematical Physics, Analysis and Geometry 5 Communications in Contemporary Mathematics 5 Milan Journal of Mathematics 5 Mediterranean Journal of Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics Letters 4 Journal of Nonlinear Science 4 Acta Mathematica Sinica. English Series 4 Journal of Dynamical and Control Systems 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 3 Periodica Mathematica Hungarica 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 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Regular and Chaotic Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Stochastics and Dynamics 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Statistical Physics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 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 Debrecen 2 Topology and its Applications 2 Revista Matemática Iberoamericana 2 Aequationes Mathematicae 2 NoDEA. Nonlinear Differential Equations and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of Mathematical Chemistry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 The Quarterly Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Annals of Functional Analysis 2 Analysis and Mathematical Physics 2 SpringerBriefs in Mathematics 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 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Symbolic Computation ...and 37 more Serials all top 5 Fields 377 Ordinary differential equations (34-XX) 262 Dynamical systems and ergodic theory (37-XX) 33 Mechanics of particles and systems (70-XX) 30 Difference and functional equations (39-XX) 24 Operator theory (47-XX) 24 Biology and other natural sciences (92-XX) 23 Partial differential equations (35-XX) 10 Relativity and gravitational theory (83-XX) 6 Fluid mechanics (76-XX) 5 Linear and multilinear algebra; matrix theory (15-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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 392 Publications have been cited 2,195 times in 1,093 Documents Cited by ▼ Year ▼ Stability of nonautonomous differential equations. Zbl 1152.34003 Barreira, Luis; Valls, Claudia 141 2008 Robustness of nonuniform exponential dichotomies in Banach spaces. Zbl 1158.34041 Barreira, Luis; Valls, Claudia 42 2008 A Grobman–Hartman theorem for nonuniformly hyperbolic dynamics. Zbl 1099.37022 Barreira, Luis; Valls, Claudia 34 2006 Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1303.34027 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 30 2014 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 29 2015 Polynomial growth rates. Zbl 1181.34046 Barreira, Luis; Valls, Claudia 28 2009 Stable manifolds for nonautonomous equations without exponential dichotomy. Zbl 1098.34036 Barreira, Luis; Valls, Claudia 27 2006 Stability theory and Lyapunov regularity. Zbl 1184.37022 Barreira, Luis; Valls, Claudia 26 2007 Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems. Zbl 1325.34002 Llibre, Jaume; Valls, Clàudia 25 2011 Nonuniform exponential dichotomies and Lyapunov regularity. Zbl 1123.34040 Barreira, Luis; Valls, Claudia 23 2007 Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1307.34060 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 23 2014 Integrability of the Bianchi IX system. Zbl 1110.37045 Llibre, Jaume; Valls, Clàudia 22 2005 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 22 2009 Growth rates and nonuniform hyperbolicity. Zbl 1202.34096 Barreira, Luis; Valls, Claudia 22 2008 Irregular sets are residual. Zbl 1376.37032 Barreira, Luis; Li, Jinjun; Valls, Claudia 20 2014 Global analytic first integrals for the real planar Lotka-Volterra system. Zbl 1137.34329 Llibre, Jaume; Valls, Clàudia 18 2007 Nonuniform exponential dichotomies and admissibility. Zbl 1221.34141 Barreira, Luís; Valls, Claudia 18 2011 Rikitake system: analytic and Darbouxian integrals. Zbl 1098.34028 Valls, Claudia 18 2005 Smoothness of invariant manifolds for nonautonomous equations. Zbl 1098.34041 Barreira, Luis; Valls, Claudia 16 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 16 2001 Stability of nonautonomous differential equations in Hilbert spaces. Zbl 1088.34053 Barreira, Luis; Valls, Claudia 16 2005 Centers for the Kukles homogeneous systems with odd degree. Zbl 1323.34039 Giné, Jaume; Llibre, Jaume; Valls, Claudia 16 2015 Admissibility for nonuniform exponential contractions. Zbl 1228.34090 Barreira, Luis; Valls, Claudia 16 2010 Invariant algebraic surfaces for generalized Raychaudhuri equations. Zbl 1252.83073 Valls, Claudia 15 2011 Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems. Zbl 1190.34033 Llibre, Jaume; Valls, Clàudia 15 2009 Lyapunov sequences for exponential dichotomies. Zbl 1153.37013 Barreira, Luis; Valls, Claudia 15 2009 Formal and analytic integrability of the Lorenz system. Zbl 1074.34005 Llibre, Jaume; Valls, Clàudia 15 2005 Conjugacies for linear and nonlinear perturbations of nonuniform behavior. Zbl 1127.37030 Barreira, Luis; Valls, Claudia 15 2007 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 15 2015 Liouvillian first integrals for Liénard polynomial differential systems. Zbl 1196.37107 Llibre, J.; Valls, C. 15 2010 Darboux integrability of the Lü system. Zbl 1263.34018 Llibre, Jaume; Mahdi, Adam; Valls, Clàudia 14 2013 Lyapunov functions for general nonuniform dichotomies. Zbl 1273.34057 Barreira, Luis; Chu, Jifeng; Valls, Claudia 14 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 13 2009 On the dynamics of the Rayleigh-Duffing oscillator. Zbl 1415.34059 Giné, Jaume; Valls, Claudia 13 2019 Lyapunov regularity of impulsive differential equations. Zbl 1206.34073 Barreira, Luis; Valls, Claudia 13 2010 Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree. Zbl 1230.37028 Llibre, Jaume; Valls, Clàudia 12 2011 Hopf bifurcation for some analytic differential systems in \(\mathbb R^3\) via averaging theory. Zbl 1218.37066 Llibre, Jaume; Valls, Clàudia 12 2011 Classification of the centers and isochronous centers for a class of quartic-like systems. Zbl 1201.34051 Llibre, Jaume; Valls, Clàudia 12 2009 Robustness of nonuniform exponential trichotomies in Banach spaces. Zbl 1202.34105 Barreira, Luis; Valls, Claudia 12 2009 Strong and weak \((L^p, L^q)\)-admissibility. Zbl 1327.34097 Barreira, Luis; Dragičević, Davor; Valls, Claudia 12 2014 Robustness of general dichotomies. Zbl 1175.34068 Barreira, Luis; Valls, Claudia 12 2009 Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1369.34057 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 12 2017 Smooth center manifolds for nonuniformly partially hyperbolic trajectories. Zbl 1114.34038 Barreira, Luis; Valls, Claudia 11 2007 Hölder Grobman-Hartman linearization. Zbl 1120.37013 Barreira, Luis; Valls, Claudia 11 2007 On the local analytic integrability at the singular point of a class of Liénard analytic differential systems. Zbl 1194.34006 Llibre, Jaume; Valls, Clàudia 11 2010 Nonuniform behavior and robustness. Zbl 1172.37013 Barreira, L.; Silva, C.; Valls, C. 11 2009 Nonuniform hyperbolicity and admissibility. Zbl 1332.37024 Barreira, Luis; Valls, Claudia; Dragičević, Davor 11 2014 Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106 Barreira, Luis; Dragičević, Davor; Valls, Claudia 11 2016 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 11 2015 Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007 Giné, Jaume; Valls, Claudia 11 2019 On the integrability of the Einstein-Yang-Mills equations. Zbl 1124.83005 Llibre, Jaume; Valls, Clàudia 10 2007 Smooth robustness of exponential dichotomies. Zbl 1216.39019 Barreira, Luis; Valls, Claudia 10 2011 Phase portraits of the two-body problem with Manev potential. Zbl 1006.70010 Llibre, Jaume; Teruel, Antonio E.; Valls, Claudia; de la Fuente, Alex 10 2001 Quadratic Lyapunov functions and nonuniform exponential dichotomies. Zbl 1165.34030 Barreira, Luis; Valls, Claudia 10 2009 On the number of limit cycles of a class of polynomial differential systems. Zbl 1371.34044 Llibre, Jaume; Valls, Clàudia 10 2012 Darboux integrability and algebraic invariant surfaces for the Rikitake system. Zbl 1153.81395 Llibre, Jaume; Valls, Clàudia 10 2008 Robustness of nonuniform dichotomies with different growth rates. Zbl 1272.34067 Barreira, Luis; Chu, Jifeng; Valls, Claudia 10 2011 Limit cycles for a generalization of polynomial Liénard differential systems. Zbl 1258.34060 Llibre, Jaume; Valls, Clàudia 10 2013 Stability in delay difference equations with nonuniform exponential behavior. Zbl 1129.39001 Barreira, Luis; Valls, Claudia 9 2007 Formal and analytic integrability of the Rössler system. Zbl 1185.37038 Llibre, Jaume; Valls, Clàudia 9 2007 On the \(C^{1}\) non-integrability of differential systems via periodic orbits. Zbl 1229.34003 Llibre, Jaume; Valls, Clàudia 9 2011 Quasiperiodic solutions for dissipative Boussinesq systems. Zbl 1122.37054 Valls, Claudia 9 2006 Admissibility and hyperbolicity. Zbl 1405.37002 Barreira, Luís; Dragičević, Davor; Valls, Claudia 9 2018 Existence of quasi-periodic solutions for elliptic equations on a cylindrical domain. Zbl 1130.35059 Valls, Claudia 9 2006 The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004 Llibre, Jaume; Valls, Claudia; Zhang, Xiang 9 2015 Nonuniform spectrum on Banach spaces. Zbl 1378.37063 Barreira, Luis; Dragičević, Davor; Valls, Claudia 9 2017 Integrability conditions of a resonant saddle in Liénard-like complex systems. Zbl 1355.34056 Giné, Jaume; Valls, Claudia 9 2016 Two limit cycles in Liénard piecewise linear differential systems. Zbl 1481.34040 Llibre, Jaume; Ponce, Enrique; Valls, Clàudia 9 2019 Centers for the Kukles homogeneous systems with even degree. Zbl 1456.34027 Gine, Jaume; Llibre, Jaume; Valls, Claudia 9 2017 Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. Zbl 1496.34062 Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia 9 2020 Exponential dichotomies with respect to a sequence of norms and admissibility. Zbl 1353.37078 Barreira, Luis; Dragičević, Davor; Valls, Claudia 9 2014 Multifractal structure of two-dimensional horseshoes. Zbl 1113.37012 Barreira, Luis; Valls, Claudia 8 2006 Analytic integrability of quadratic-linear polynomial differential systems. Zbl 1213.37099 Llibre, Jaume; Valls, Clàudia 8 2011 Robustness of nonuniform polynomial dichotomies for difference equations. Zbl 1229.93042 Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin 8 2011 Ordinary differential equations. Qualitative theory. Transl. from the Portuguese by the authors. Zbl 1264.34001 Barreira, Luis; Valls, Claudia 8 2012 Integrability of the Nosé-Hoover equation. Zbl 1221.34004 Mahdi, Adam; Valls, Claudia 8 2011 Lyapunov functions for trichotomies with growth rates. Zbl 1197.34094 Barreira, Luis; Valls, Claudia 8 2010 Analytic first integrals of the FitzHugh-Nagumo systems. Zbl 1194.92014 Llibre, Jaume; Valls, Clàudia 8 2009 Formal and analytic first integrals of the Einstein-Yang-Mills equations. Zbl 1098.83012 Llibre, Jaume; Valls, Clàudia 8 2005 Center manifolds for nonuniformly partially hyperbolic diffeomorphisms. Zbl 1159.37319 Barreira, Luis; Valls, Claudia 8 2005 From one-sided dichotomies to two-sided dichotomies. Zbl 1366.37078 Barreira, Luis; Dragičević, Davor; Valls, Claudia 8 2015 Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4. Zbl 1314.37040 Llibre, Jaume; Mahdi, Adam; Valls, Claudia 8 2011 Integrability of the Rucklidge system. Zbl 1331.34050 Lima, Maurício F. S.; Llibre, Jaume; Valls, Clàudia 8 2014 Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\). Zbl 1333.34043 Giné, Jaume; Valls, Claudia 8 2016 Stable manifolds for impulsive equations under nonuniform hyperbolicity. Zbl 1216.34037 Barreira, Luis; Valls, Claudia 8 2010 Puiseux integrability of differential equations. Zbl 1527.34006 Demina, Maria V.; Giné, Jaume; Valls, Claudia 8 2022 Polynomial first integrals for the Chen and Lü systems. Zbl 1258.34009 Llibre, Jaume; Valls, Claudia 8 2012 Liouvillian first integrals for generalized Liénard polynomial differential systems. Zbl 1369.34003 Llibre, Jaume; Valls, Clàudia 8 2013 On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072 Valls, Claudia 8 2019 Darboux integrability of generalized Yang-Mills Hamiltonian system. Zbl 1420.37037 Llibre, Jaume; Valls, Claudia 8 2016 Reversibility and equivariance in center manifolds of nonautonomous dynamics. Zbl 1197.37023 Barreira, Luis; Valls, Claudia 7 2007 Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree –3. Zbl 1237.34047 Llibre, Jaume; Mahdi, Adam; Valls, Claudia 7 2011 Robustness for impulsive equations. Zbl 1194.34101 Barreira, Luis; Valls, Claudia 7 2010 Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy. Zbl 1099.37020 Barreira, Luis; Valls, Claudia 7 2006 Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities. Zbl 1348.34064 Giné, Jaume; Valls, Claudia 7 2015 Admissibility on the half line for evolution families. Zbl 1476.34131 Barreira, Luis; Dragičević, Davor; Valls, Claudia 7 2017 The co-circular central configurations of the 5-body problem. Zbl 1391.70030 Llibre, Jaume; Valls, Claudia 7 2015 On the number of limit cycles for a generalization of Liénard polynomial differential systems. Zbl 1270.34052 Llibre, Jaume; Valls, Claudia 7 2013 Centers and isochronous centers for two classes of generalized seventh and ninth systems. Zbl 1222.34032 Llibre, Jaume; Valls, Clàudia 7 2010 Dynamical systems. An introduction. Zbl 1269.37001 Barreira, Luis; Valls, Claudia 7 2013 Admissibility via evolution semigroups. Zbl 07818472 Barreira, Luis; Valls, Claudia 1 2024 On a class of global centers of linear systems with quintic homogeneous nonlinearities. Zbl 1521.34031 García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 1 2023 Retracted: Trigonometric polynomial solutions of Bernoulli trigonometric polynomial differential equations. Zbl 1518.34035 Valls, Claudia 1 2023 Puiseux integrability of differential equations. Zbl 1527.34006 Demina, Maria V.; Giné, Jaume; Valls, Claudia 8 2022 Global centers of the generalized polynomial Liénard differential systems. Zbl 1501.34031 Llibre, Jaume; Valls, Claudia 2 2022 Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields. Zbl 1490.34029 Corbera, Montserrat; Valls, Claudia 1 2022 Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations. Zbl 1500.34028 Llibre, Jaume; Valls, Claudia 1 2022 Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. Zbl 1504.34073 Llibre, Jaume; Valls, Claudia 1 2022 Discrete Melnikov functions. Zbl 1514.39004 Gasull, Armengol; Valls, Claudia 1 2022 Rational solutions of Abel trigonometric polynomial differential equations. Zbl 1509.34004 Valls, Claudia 1 2022 Phase portraits of uniform isochronous centers with homogeneous nonlinearities. Zbl 1498.34089 Llibre, Jaume; Valls, Claudia 1 2022 Evolution maps and symmetry. Zbl 1496.37027 Barreira, Luis; Valls, Claudia 1 2022 The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085 Esteban, M.; Llibre, J.; Valls, C. 7 2021 Polynomial differential systems with even degree have no global centers. Zbl 1480.34044 Llibre, Jaume; Valls, Claudia 4 2021 The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line. Zbl 1490.34036 Esteban, Marina; Llibre, Jaume; Valls, Claudia 3 2021 Geometry, integrability and bifurcation diagrams of a family of quadratic differential systems as application of the Darboux theory of integrability. Zbl 1488.58027 Oliveira, Regilene; Schlomiuk, Dana; Travaglini, Ana Maria; Valls, Claudia 3 2021 The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in \(\mathbb{R}^3\). Zbl 1461.34061 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria; Valls, Claudia 3 2021 Rational limit cycles of Abel equations. Zbl 1471.34062 Llibre, Jaume; Valls, Claudia 3 2021 Smooth linearization under nonuniform hyperbolicity. Zbl 1473.37023 Barreira, Luis; Valls, Claudia 3 2021 The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems. Zbl 1471.34061 Llibre, Jaume; Valls, Claudia 2 2021 Phase portraits of the complex Abel polynomial differential systems. Zbl 1485.34099 Llibre, Jaume; Valls, Claudia 2 2021 Rational limit cycles on generalized Bernoulli polynomial equations. Zbl 1470.34094 Valls, Clàudia 2 2021 Hyperbolicity in delay equations. Zbl 1483.34003 Barreira, Luis; Valls, Claudia 2 2021 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 2 2021 A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1467.37024 Llibre, Jaume; Valls, Claudia 2 2021 Global phase portraits for the Kukles systems of degree 3 with \(\mathbb{Z}_2\)-reversible symmetries. Zbl 1469.34048 Dias, Fabio Scalco; Ribeiro, Ronisio Moises; Valls, Claudia 2 2021 Simultaneity of centres in double-reversible planar differential systems. Zbl 1471.34059 Giné, Jaume; Valls, Claudia 1 2021 Hyperbolicity of delay equations via cocycles. Zbl 1489.34093 Barreira, Luis; Holanda, Carllos; Valls, Claudia 1 2021 The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055 Llibre, Jaume; Paşca, Daniel; Valls, Claudià 1 2021 Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. Zbl 1496.34062 Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia 9 2020 On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. Zbl 1465.34038 Demina, Maria V.; Valls, Claudia 7 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 6 2020 Linear type global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1479.34059 García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 5 2020 Nonuniform exponential behavior via evolution semigroups. Zbl 07209601 Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia 5 2020 Nonlinear oscillations in the modified Leslie-Gower model. Zbl 1460.34053 Giné, Jaume; Valls, Claudia 4 2020 Integrability and zero-Hopf bifurcation in the Sprott A system. Zbl 1450.34018 Barreira, Luis; Llibre, Jaume; Valls, Claudia 4 2020 Nilpotent global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1436.34027 García-Saldaña, J. D.; Llibre, Jaume; Valls, Claudia 4 2020 Global dynamics of a Lotka-Volterra system in \(\mathbb{R}^3\). Zbl 1436.37027 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 4 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 3 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 3 2020 Regularity and stability sets for families of sequences of matrices. Zbl 1456.37030 Barreira, Luis; Valls, Claudia 3 2020 Highest weak focus order for trigonometric Liénard equations. Zbl 1450.34022 Gasull, Armengol; Giné, Jaume; Valls, Claudia 3 2020 Hyperbolicity via admissibility in delay equations. Zbl 1447.37039 Barreira, Luis; Valls, Claudia 3 2020 Periodic solutions and invariant torus in the Rössler system. Zbl 1472.34058 Cândido, Murilo R.; Novaes, Douglas D.; Valls, Claudia 3 2020 Centers of planar generalized Abel equations. Zbl 1451.34031 Llibre, Jaume; Valls, Clàudia 3 2020 Rational limit cycles on Bernoulli and Riccati equations. Zbl 1448.34069 Valls, Clàudia 2 2020 Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems. Zbl 1441.34002 Giné, Jaume; Valls, Claudia 2 2020 On the Abel differential equations of third kind. Zbl 1453.34044 Oliveira, Regilene; Valls, Cláudia 2 2020 Bounded polynomial vector fields in \(\mathbb{R}^2\) and \(\mathbb{R}^n\). Zbl 1436.34024 Barreira, Luis; Llibre, Jaume; Valls, Claudia 2 2020 Stable manifolds for difference equations with infinite delay. Zbl 1465.37042 Barreira, Luís; Rijo, João; Valls, Claudia 2 2020 On the global dynamics of a three-dimensional forced-damped differential system. Zbl 1436.34028 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 2 2020 One-sided hyperbolicity via evolution maps. Zbl 1446.37035 Barreira, Luis; Valls, Claudia 2 2020 Robustness of hyperbolicity in delay equations. Zbl 1434.34062 Barreira, Luis; Valls, Claudia 2 2020 On the global dynamics and integrability of the chemostat system. Zbl 1440.34048 Martínez, Y. Paulina; Valls, Claudia 1 2020 On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula. Zbl 1461.34052 Llibre, Jaume; Valls, Claudia 1 2020 Equivalent notions of hyperbolicity. Zbl 1455.37030 Barreira, Luis; Valls, Claudia 1 2020 Global dynamics of the May-Leonard system with a Darboux invariant. Zbl 1480.37033 Oliveira, Regilene; Valls, Claudia 1 2020 Admissibility in the strong and weak senses. Zbl 1432.37052 Barreira, Luis; Valls, Claudia 1 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 1 2020 Small-amplitude limit cycles of certain planar differential systems. Zbl 1447.34031 Giné, Jaume; Valls, Claudia 1 2020 On a conjecture on the integrability of Liénard systems. Zbl 1483.34008 Llibre, Jaume; Murza, Adrian C.; Valls, Claudia 1 2020 Characterization of tempered exponential dichotomies. Zbl 1441.37023 Barreira, Luis; Rijo, João; Valls, Claudia 1 2020 Global qualitative dynamics of the Brusselator system. Zbl 1510.34051 Llibre, Jaume; Valls, Clàudia 1 2020 Perturbations of delay equations. Zbl 1460.34090 Barreira, Luís; Valls, Claudia 1 2020 On the dynamics of the Rayleigh-Duffing oscillator. Zbl 1415.34059 Giné, Jaume; Valls, Claudia 13 2019 Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007 Giné, Jaume; Valls, Claudia 11 2019 Two limit cycles in Liénard piecewise linear differential systems. Zbl 1481.34040 Llibre, Jaume; Ponce, Enrique; Valls, Clàudia 9 2019 On the global dynamics of the Newell-Whitehead system. Zbl 1418.34072 Valls, Claudia 8 2019 Invariant algebraic surfaces and algebraic first integrals of the Maxwell-Bloch system. Zbl 1460.34060 Valls, Claudia 6 2019 Normal forms via nonuniform hyperbolicity. Zbl 1415.37021 Barreira, Luis; Valls, Claudia 4 2019 Conjugacies and invariant manifolds via evolution semigroups. Zbl 1442.37047 Barreira, Luis; Valls, Claudia 3 2019 \(C^k\) invariant manifolds for infinite delay. Zbl 1426.37027 Barreira, Luis; Valls, Claudia 3 2019 Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077 Bohner, Martin; Gasull, Armengol; Valls, Claudia 3 2019 On centered co-circular central configurations of the \(n\)-body problem. Zbl 1444.70005 Corbera, Montserrat; Valls, Claudia 2 2019 Liouvillian integrability of some quadratic Liénard polynomial differential systems. Zbl 1435.34008 Valls, Claudia 2 2019 Periodic orbits of the planar anisotropic generalized Kepler problem. Zbl 1461.70026 Llibre, Jaume; Valls, Claudia 2 2019 General exponential dichotomies: from finite to infinite time. Zbl 1401.70017 Barreira, Luis; Valls, Claudia 2 2019 Integrability of reversible and equivariant quadratic polynomial differential systems in the plane. Zbl 1421.34001 Llibre, Jaume; Valls, Claudia 2 2019 Lyapunov regularity and triangularization for unbounded sequences. Zbl 1438.37017 Barreira, Luis; Valls, Claudia 1 2019 Hyperbolicity via evolution semigroups on \(L^p\). Zbl 1434.37018 Barreira, Luis; Valls, Claudia 1 2019 Phase portraits of Abel quadratic differential systems of second kind with symmetries. Zbl 1415.34038 Ferragut, Antoni; García-Saldaña, Johanna D.; Valls, Claudia 1 2019 On the dynamics of the Szekeres system. Zbl 1475.83012 Llibre, Jaume; Valls, Clàudia 1 2019 The Liouvillian integrability of several oscillators. Zbl 1422.34003 Giné, Jaume; Valls, Claudia 1 2019 New symmetric periodic solutions for the Maxwell-Bloch differential system. Zbl 1460.34052 Cândido, M. R.; Llibre, J.; Valls, C. 1 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 1 2019 Admissibility and hyperbolicity. Zbl 1405.37002 Barreira, Luís; Dragičević, Davor; Valls, Claudia 9 2018 Topological entropy of irregular sets. Zbl 1393.37017 Barreira, Luis; Li, Jinjun; Valls, Claudia 6 2018 Simultaneity of centres in \(\mathbb{Z}_q\)-equivariant systems. Zbl 1402.34035 Giné, Jaume; Llibre, Jaume; Valls, Claudia 6 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 5 2018 Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers. Zbl 1484.37058 Dias, Fabio Scalco; Llibre, Jaume; Valls, Claudia 5 2018 Dynamics of the Higgins-Selkov and Selkov systems. Zbl 1415.34058 Artés, Joan Carles; Llibre, Jaume; Valls, Claudià 5 2018 Stable invariant manifolds for delay equations with piecewise constant argument. Zbl 1395.34078 Barreira, Luis; Valls, Claudia 4 2018 The generalized polynomial Moon-Rand system. Zbl 1398.34046 Giné, Jaume; Valls, Claudia 4 2018 Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension. Zbl 1398.34044 Barreira, Luis; Llibre, Jaume; Valls, Claudia 4 2018 Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve. Zbl 1394.34056 Llibre, Jaume; Valls, Claudia 3 2018 On the global dynamics of a finance model. Zbl 1392.34029 Llibre, Jaume; Valls, Clàudia 3 2018 Phase portraits of Abel quadratic differential systems of the second kind. Zbl 1402.34014 Ferragut, Antoni; Valls, Claudia 3 2018 Algebraic limit cycles for quadratic polynomial differential systems. Zbl 1426.34040 Llibre, Jaume; Valls, Claudia 3 2018 Algebraic limit cycles on quadratic polynomial differential systems. Zbl 1435.34033 Llibre, Jaume; Valls, Claudia 3 2018 Transformations preserving the Lyapunov exponents. Zbl 1388.37035 Barreira, Luis; Valls, Claudia 2 2018 ...and 292 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 953 Authors 293 Valls Anglés, Cláudia 176 Llibre, Jaume 148 Barreira, Luis Manuel 45 Dragičević, Davor 42 Giné, Jaume 28 Zhang, Xiang 17 Chen, Hebai 16 Li, Feng 16 Xia, Yonghui 15 Czornik, Adam 15 Demina, Maria V. 14 Tang, Yilei 13 Megan, Mihail 12 Zhang, Weinian 11 Li, Shimin 11 Oliveira, Regilene D. S. 11 Tian, Yuzhou 11 Vidal, Claudio 10 Gasull, Armengol 10 O’Regan, Donal 10 Popescu, Liviu Horia 10 Zhang, Jimin 9 Ferragut, Antoni 9 Mahdi, Adam 9 Niezabitowski, Michał 9 Romanovskiĭ, Valeriĭ Georgievich 8 Chen, Ting 8 Fan, Meng 8 Huang, Kaiyin 8 Preda, Ciprian 8 Sasu, Adina Luminiţa 8 Sasu, Bogdan 8 Shi, Shaoyun 8 Silva, César M. 8 Sinelshchikov, Dmitry I. 8 Wei, Zhouchao 8 Yu, Pei 7 Algaba, Antonio 7 Benterki, Rebiha 7 Bento, António J. G. 7 Castañeda, Alvaro 7 Dias, Fabio Scalco 7 García, Isaac A. 7 Huang, Wentao 7 Li, Jinjun 7 Liang, Haihua 7 Liu, Yirong 7 Pantazi, Chara 7 Robledo, Gonzalo 7 Wu, Min 7 Xiao, Dongmei 6 Babiarz, Artur 6 Bendjeddou, Ahmed 6 Boukoucha, Rachid 6 Ceauşu, Traian 6 Euzébio, Rodrigo D. 6 Fernandes, Wilker 6 Liu, Yuanyuan 6 Martínez, Y. Paulina 6 Preda, Petre 6 Valdebenito, Darío A. 6 Yang, Shuangling 6 Zhu, Hailong 5 Amen, Azad Ibrahim 5 Babuţia, Mihai Gabriel 5 Backes, Lucas H. 5 Berbache, Aziza 5 Bonotto, Everaldo M. 5 Chu, Jifeng 5 Corbera, Montserrat 5 Doan, Thai Son 5 Ferčec, Brigita 5 García, Cristóbal 5 Han, Maoan 5 Huang, Bo 5 Huang, Jianfeng 5 Li, Wenlei 5 Lupa, Nicolae 5 Nakano, Yushi 5 Pessoa, Claudio 5 Poláčik, Peter 5 Ponce, Enrique 5 Popa, Ioan-Lucian 5 Wu, Yusen 5 Yu, Jiang 5 Yue, Tian 5 Zhang, Wenmeng 5 Zhou, Linfeng 4 Barrio, Roberto 4 Buzzi, Claudio Aguinaldo 4 Colak, Ilker E. 4 Da Silva, Paulo Ricardo 4 Delshams, Amadeu 4 Du, Chaoxiong 4 Froeschlé, Claude 4 García-Saldaña, Johanna D. 4 Gutiérrez, Pere 4 Guzzo, Massimiliano 4 Lăzureanu, Cristian 4 Lega, Elena ...and 853 more Authors all top 5 Cited in 207 Serials 87 Journal of Differential Equations 55 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 48 Journal of Mathematical Analysis and Applications 40 Qualitative Theory of Dynamical Systems 31 Journal of Dynamics and Differential Equations 29 Chaos, Solitons and Fractals 28 Discrete and Continuous Dynamical Systems. Series B 27 Journal of Mathematical Physics 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Bulletin des Sciences Mathématiques 22 Journal of Nonlinear Mathematical Physics 21 Nonlinear Dynamics 20 Applied Mathematics and Computation 20 Discrete and Continuous Dynamical Systems 20 Dynamical Systems 18 Nonlinear Analysis. Real World Applications 16 Journal of Difference Equations and Applications 15 Physica D 13 Communications in Nonlinear Science and Numerical Simulation 12 Proceedings of the American Mathematical Society 12 Applied Mathematics Letters 11 Electronic Journal of Differential Equations (EJDE) 10 Journal of Geometry and Physics 9 Ergodic Theory and Dynamical Systems 9 Regular and Chaotic Dynamics 9 Mediterranean Journal of Mathematics 8 Communications in Mathematical Physics 8 Mathematical Methods in the Applied Sciences 8 Nonlinearity 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Advances in Mathematics 8 Journal of Functional Analysis 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Journal of Nonlinear Science 8 Abstract and Applied Analysis 8 Communications on Pure and Applied Analysis 8 SIAM Journal on Applied Dynamical Systems 8 Advances in Difference Equations 8 Journal of Applied Analysis and Computation 7 Journal of Computational and Applied Mathematics 7 Acta Mathematica Sinica. English Series 7 Journal of Dynamical and Control Systems 7 Advanced Nonlinear Studies 7 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 6 Physics Letters. A 6 Results in Mathematics 5 Applicable Analysis 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Linear Algebra and its Applications 5 Journal of Mathematical Sciences (New York) 5 Milan Journal of Mathematics 4 Computers & Mathematics with Applications 4 Journal of Statistical Physics 4 Periodica Mathematica Hungarica 4 Theoretical and Mathematical Physics 4 Archiv der Mathematik 4 Automatica 4 Integral Equations and Operator Theory 4 Monatshefte für Mathematik 4 Quaestiones Mathematicae 4 Topological Methods in Nonlinear Analysis 4 Chaos 4 Discrete Dynamics in Nature and Society 4 Communications in Contemporary Mathematics 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Analysis and Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Collectanea Mathematica 3 Journal of the Korean Mathematical Society 3 Journal of Pure and Applied Algebra 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Journal of Symbolic Computation 3 Celestial Mechanics and Dynamical Astronomy 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Stochastics and Dynamics 3 MATCH - Communications in Mathematical and in Computer Chemistry 3 International Journal of Geometric Methods in Modern Physics 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Journal of Siberian Federal University. Mathematics & Physics 2 Bulletin of the Australian Mathematical Society 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Mathematical Biosciences 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Mathematische Nachrichten 2 Mathematika 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Semigroup Forum ...and 107 more Serials all top 5 Cited in 46 Fields 713 Ordinary differential equations (34-XX) 500 Dynamical systems and ergodic theory (37-XX) 100 Mechanics of particles and systems (70-XX) 77 Difference and functional equations (39-XX) 63 Partial differential equations (35-XX) 55 Biology and other natural sciences (92-XX) 54 Operator theory (47-XX) 40 Systems theory; control (93-XX) 16 Numerical analysis (65-XX) 16 Relativity and gravitational theory (83-XX) 12 Information and communication theory, circuits (94-XX) 11 Probability theory and stochastic processes (60-XX) 10 Measure and integration (28-XX) 10 General topology (54-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Differential geometry (53-XX) 8 Fluid mechanics (76-XX) 8 Quantum theory (81-XX) 6 Number theory (11-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Functional analysis (46-XX) 3 Geophysics (86-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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