Edit Profile (opens in new tab) Giné, Jaume Co-Author Distance Author ID: gine.jaume Published as: Giné, Jaume; Giné, J.; Gine, Jaume more...less External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 237 Publications since 1995, including 2 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 57 Reviews Co-Authors: 52 Co-Authors with 195 Joint Publications 855 Co-Co-Authors all top 5 Co-Authors 45 single-authored 58 Llibre, Jaume 32 Grau, Maite 30 Chavarriga, Javier 30 Valls Anglés, Cláudia 28 García, Isaac A. 19 Algaba, Antonio 19 García, Cristóbal 15 Giacomini, Hector J. 11 Romanovskiĭ, Valeriĭ Georgievich 8 Ferčec, Brigita 8 Santallusia, Xavier 7 Maza, Susanna 6 Gasull, Armengol 5 Buică, Adriana 3 Chemisana, Daniel 3 Dukarić, Maša 3 Madrid, Jaime 3 Peralta-Salas, Daniel 3 Sorolla, Jordi 3 Torregrosa, Joan 2 Christopher, Colin J. 2 Demina, Maria V. 2 Díaz, Maria Elena 2 Khajoei, Najmeh 2 Liu, Yirong 2 Mallol, Josep 2 Oliveira, Regilene D. S. 1 Aguirre, Jacobo 1 Arcet, Barbara 1 Braun, Francisco 1 Cairó, Laurent 1 Checa, Isabel 1 Chen, Xingwu 1 de Prada, Paz 1 Dolićanin-Đekić, Diana 1 Edneral, Victor F. 1 García, Belén 1 Gavrilov, Lubomir 1 Giacomin, Hector 1 Gouveia, Luiz F. S. 1 Kadyrsizova, Zhibek 1 Luciano, Giuseppe Gaetano 1 Mencinger, Matej 1 Pérez del Río, Jesús S. 1 Prešern, Mateja 1 Reyes, Manuel 1 Ribereau, E. 1 Shafer, Douglas S. 1 Shcheglova, Natalie L. 1 Sinelshchikov, Dmitry I. 1 Wu, Kesheng 1 Zhang, Xiang all top 5 Serials 18 Journal of Differential Equations 17 Journal of Mathematical Analysis and Applications 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Chaos, Solitons and Fractals 10 Applied Mathematics and Computation 9 Qualitative Theory of Dynamical Systems 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Nonlinear Analysis. Real World Applications 7 Communications on Pure and Applied Analysis 6 Applied Mathematics Letters 5 Journal of Computational and Applied Mathematics 5 Bulletin des Sciences Mathématiques 4 Computers & Mathematics with Applications 4 Nonlinearity 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Publicacions Matemàtiques 4 Journal of Nonlinear Mathematical Physics 4 Journal of Applied Analysis and Computation 3 International Journal of Theoretical Physics 3 Journal of Mathematical Physics 3 Mathematics and Computers in Simulation 3 Physica D 3 Electronic Journal of Differential Equations (EJDE) 3 Differential Equations and Dynamical Systems 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Dynamical Systems 2 Modern Physics Letters A 2 Rocky Mountain Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 European Journal of Applied Mathematics 2 Expositiones Mathematicae 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Dynamics 2 Advanced Nonlinear Studies 2 Mediterranean Journal of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Nonlinear Analysis. Theory, Methods & Applications 1 Astrophysics and Space Science 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Physics Letters. A 1 Physics Letters. B 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Annals of Differential Equations 1 Extracta Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Applicationes Mathematicae 1 Journal of Lie Theory 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Abstract and Applied Analysis 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Physica Scripta 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Moscow Mathematical Journal 1 Fixed Point Theory 1 Advanced Studies in Theoretical Physics 1 Communications in Theoretical Physics 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Advances in Nonlinear Analysis 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 213 Ordinary differential equations (34-XX) 51 Dynamical systems and ergodic theory (37-XX) 13 Relativity and gravitational theory (83-XX) 10 Quantum theory (81-XX) 7 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Numerical analysis (65-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 204 Publications have been cited 2,161 times in 846 Documents Cited by ▼ Year ▼ On the integrability of two-dimensional flows. Zbl 0940.37005 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 82 1999 Local analytic integrability for nilpotent centers. Zbl 1037.34025 Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 69 2003 Darboux integrability and the inverse integrating factor. Zbl 1043.34001 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 66 2003 The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems. Zbl 1111.34026 Giacomini, Hector; Giné, Jaume; Llibre, Jaume 65 2006 Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial. Zbl 0921.34032 Chavarriga, Javier; Giné, Jaume; García, I. A. 56 1999 Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials. Zbl 0978.34028 Chavarriga, J.; Giné, J.; García, I. A. 51 2000 On some open problems in planar differential systems and Hilbert’s 16th problem. Zbl 1149.34023 Giné, Jaume 47 2007 Integrability of a linear center perturbed by a fifth degree homogeneous polynomial. Zbl 0897.34030 Chavarriga, Javier; Giné, Jaume 43 1997 Limit cycles of cubic polynomial vector fields via the averaging theory. Zbl 1127.34025 Giné, Jaume; Llibre, Jaume 43 2007 Integrability of a linear center perturbed by a fourth degree homogeneous polynomial. Zbl 0851.34001 Chavarriga, Javier; Giné, Jaume 42 1996 Averaging theory at any order for computing periodic orbits. Zbl 1267.34073 Giné, Jaume; Grau, Maite; Llibre, Jaume 32 2013 Isochronicity into a family of time-reversible cubic vector fields. Zbl 1025.37011 Chavarriga, J.; García, I. A.; Giné, J. 31 2001 Integrability conditions for Lotka-Volterra planar complex quintic systems. Zbl 1194.34003 Giné, Jaume; Romanovski, Valery G. 28 2010 A class of reversible cubic systems with an isochronous center. Zbl 0982.34024 Cairó, L.; Chavarriga, J.; Giné, J.; Llibre, J. 27 1999 The nondegenerate center problem and the inverse integrating factor. Zbl 1102.34001 Giné, Jaume 27 2006 Sufficient conditions for a center at a completely degenerate critical point. Zbl 1047.34020 Giné, J. 27 2002 Conditions for the existence of a center for the Kukles homogeneous systems. Zbl 1012.34025 Giné, J. 25 2002 Isochronous centers of cubic systems with degenerate infinity. Zbl 0982.34025 Chavarriga, J.; Giné, J.; García, I. 25 1999 The center problem for a linear center perturbed by homogeneous polynomials. Zbl 1124.34326 Giné, Jaume 24 2006 Weierstrass integrability of differential equations. Zbl 1195.34007 Giné, Jaume; Grau, Maite 23 2010 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062 Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 22 2016 Generalized cofactors and nonlinear superposition principles. Zbl 1057.34002 García, I. A.; Giné, J. 22 2003 Characterization of isochronous foci for planar analytic differential systems. Zbl 1092.34014 Giné, Jaume; Grau, Maite 21 2005 Universal centres and composition conditions. Zbl 1277.34034 Giné, Jaume; Grau, Maite; Llibre, Jaume 21 2013 On the Poincaré–Lyapunov constants and the Poincaré series. Zbl 1022.34028 Giné, Jaume; Santallusia, Xavier 20 2001 Linearizability conditions for Lotka-Volterra planar complex cubic systems. Zbl 1188.34115 Giné, Jaume; Romanovski, Valery G. 20 2009 The reversibility and the center problem. Zbl 1219.34049 Giné, Jaume; Maza, Susanna 20 2011 A necessary condition in the monodromy problem for analytic differential equations on the plane. Zbl 1135.34023 García, Isaac A.; Giné, Jaume; Grau, Maite 20 2006 Implementation of a new algorithm of computation of the Poincaré-Lyapunov constants. Zbl 1051.65125 Giné, Jaume; Santallusia, Xavier 19 2004 Higher order limit cycle bifurcations from non-degenerate centers. Zbl 1255.34041 Giné, Jaume 19 2012 The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems. Zbl 1365.34006 Chen, Xingwu; Giné, Jaume; Romanovski, Valery G.; Shafer, Douglas S. 18 2012 Generalized nonlinear superposition principles for polynomial planar vector fields. Zbl 1073.34003 García, Isaac A.; Giacomini, Hector; Giné, Jaume 18 2005 Analytic nilpotent centers as limits of nondegenerate centers revisited. Zbl 1341.34040 García, Isaac A.; Giacomini, Héctor; Giné, Jaume; Llibre, Jaume 18 2016 Weierstrass integrability in Liénard differential systems. Zbl 1229.34015 Giné, Jaume; Llibre, Jaume 18 2011 Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations. Zbl 1114.34029 Giné, Jaume; Grau, Maite 17 2006 Existence of inverse integrating factors and Lie symmetries for degenerate planar centers. Zbl 1298.34026 Giné, Jaume; Peralta-Salas, Daniel 17 2012 On the cyclicity of weight-homogeneous centers. Zbl 1182.34045 Gavrilov, Lubomir; Giné, Jaume; Grau, Maite 17 2009 Center conditions for polynomial Liénard systems. Zbl 1392.34027 Giné, Jaume 17 2017 On the degenerate center problem. Zbl 1248.34032 Giné, Jaume 16 2011 A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter. Zbl 1247.34060 Buică, Adriana; Giné, Jaume; Llibre, Jaume 16 2012 Centers for the Kukles homogeneous systems with odd degree. Zbl 1323.34039 Giné, Jaume; Llibre, Jaume; Valls, Claudia 16 2015 Lower bounds for the local cyclicity for families of centers. Zbl 1467.34034 Giné, Jaume; Gouveia, Luiz F. S.; Torregrosa, Joan 16 2021 On the centers of planar analytic differential systems. Zbl 1158.34018 Giné, Jaume 16 2007 On integrability of differential equations defined by the sum of homogeneous vector fields with degenerate infinity. Zbl 1090.34529 Chavarriga, J.; García, I. A.; Giné, J. 15 2001 Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems. Zbl 1282.34006 Giné, Jaume; Grau, Maite; Llibre, Jaume 15 2013 Integrability of centers perturbed by quasi-homogeneous polynomials. Zbl 0876.34008 Chavarriga, J.; García, I.; Giné, J. 15 1997 A method for characterizing nilpotent centers. Zbl 1323.34038 Giné, Jaume; Llibre, Jaume 15 2014 Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. Zbl 1217.34058 Giné, Jaume; Kadyrsizova, Zhibek; Liu, Yirong; Romanovski, Valery G. 15 2011 The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields. Zbl 1395.34047 Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume 13 2018 On the dynamics of the Rayleigh-Duffing oscillator. Zbl 1415.34059 Giné, Jaume; Valls, Claudia 13 2019 Isochronous foci for analytic differential systems. Zbl 1069.34046 Giné, Jaume 13 2003 Abel differential equations admitting a certain first integral. Zbl 1202.34006 Giné, Jaume; Santallusia, Xavier 13 2010 Analytic integrability for some degenerate planar vector fields. Zbl 1306.34046 Algaba, Antonio; García, Cristóbal; Giné, Jaume 12 2014 A family of isochronous foci with Darboux first integral. Zbl 1116.34026 Giné, Jaume; Llibre, Jaume 12 2005 On the polynomial limit cycles of polynomial differential equations. Zbl 1215.34024 Giné, Jaume; Grau, Maite; Llibre, Jaume 12 2011 Cyclicity versus center problem. Zbl 1210.34049 Gasull, Armengol; Giné, Jaume 12 2010 On the integrable rational Abel differential equations. Zbl 1198.34002 Giné, Jaume; Llibre, Jaume 12 2010 Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. Zbl 1280.34034 Ferčec, Brigita; Giné, Jaume; Liu, Yirong; Romanovski, Valery G. 12 2013 Analytic integrability and characterization of centers for generalized nilpotent singular points. Zbl 1054.34048 Giné, Jaume 12 2004 On a new type of bifurcation of limit cycles for a planar cubic system. Zbl 0917.34021 Chavarriga, Javier; Giacomini, H.; Giné, Jaume 11 1999 Liouvillian integrability of a general Rayleigh-Duffing oscillator. Zbl 1471.34007 Giné, Jaume; Valls, Claudia 11 2019 Non-algebraic invariant curves for polynomial planar vector fields. Zbl 1050.34033 García, Isaac A.; Giné, Jaume 11 2004 Essential variables in the integrability problem of planar vector fields. Zbl 1241.34018 Giné, Jaume; Santallusia, Xavier 11 2011 Bifurcation of limit cycles from a polynomial degenerate center. Zbl 1232.34049 Buică, Adriana; Giné, Jaume; Llibre, Jaume 11 2010 Integrability of planar polynomial differential systems through linear differential equations. Zbl 1140.34001 Giacomini, H.; Giné, J.; Grau, M. 11 2006 On the number of algebraically independent Poincaré-Liapunov constants. Zbl 1124.34018 Giné, Jaume 11 2007 Nilpotent centres via inverse integrating factors. Zbl 1384.34037 Algaba, Antonio; García, Cristóbal; Giné, Jaume 10 2016 Analytic integrability around a nilpotent singularity. Zbl 1432.34002 Algaba, Antonio; García, Cristóbal; Giné, Jaume 10 2019 Integrability of Liénard systems with a weak saddle. Zbl 1379.37048 Gasull, Armengol; Giné, Jaume 10 2017 On the extensions of the Darboux theory of integrability. Zbl 1322.34004 Giné, Jaume; Grau, Maite; Llibre, Jaume 10 2013 Strongly formal Weierstrass non-integrability for polynomial differential systems in \(\mathbb{C}^2\). Zbl 1449.34001 Giné, Jaume; Llibre, Jaume 10 2020 Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities. Zbl 1054.34051 Giné, Jaume; Llibre, Jaume 10 2004 On Lie’s symmetries for planar polynomial differential systems. Zbl 0987.34027 Chavarriga, J.; García, I. A.; Giné, J. 9 2001 Integrability of cubic systems with degenerate infinity. Zbl 0998.34001 Chavarriga, Javier; Giné, Jaume 9 1998 Liénard equation and its generalizations. Zbl 1370.34026 Giné, Jaume 9 2017 Integrability conditions of a resonant saddle in Liénard-like complex systems. Zbl 1355.34056 Giné, Jaume; Valls, Claudia 9 2016 Linearizability and integrability of vector fields via commutation. Zbl 1102.34310 Giné, Jaume; Grau, Maite 9 2006 A note on: “Relaxation oscillators with exact limit cycles”. Zbl 1276.34023 Giné, Jaume; Grau, Maite 9 2006 Reduction of integrable planar polynomial differential systems. Zbl 1258.34003 Giné, Jaume 9 2012 Minimum number of ideal generators for a linear center perturbed by homogeneous polynomials. Zbl 1238.34074 Giné, Jaume; Mallol, Josep 9 2009 Limit cycle bifurcations from a non-degenerate center. Zbl 1391.34073 Giné, Jaume 9 2012 The center problem via averaging method. Zbl 1171.34311 García, Isaac A.; Giné, Jaume 9 2009 Centers for the Kukles homogeneous systems with even degree. Zbl 1456.34027 Gine, Jaume; Llibre, Jaume; Valls, Claudia 9 2017 Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\). Zbl 1333.34043 Giné, Jaume; Valls, Claudia 8 2016 Limit cycles bifurcating from planar polynomial quasi-homogeneous centers. Zbl 1332.34066 Giné, Jaume; Grau, Maite; Llibre, Jaume 8 2015 Puiseux integrability of differential equations. Zbl 1527.34006 Demina, Maria V.; Giné, Jaume; Valls, Claudia 8 2022 The resonant center problem for a \(2:-3\) resonant cubic Lotka-Volterra system. Zbl 1375.34057 Giné, Jaume; Christopher, Colin; Prešern, Mateja; Romanovski, Valery G.; Shcheglova, Natalie L. 8 2012 On the center conditions for analytic monodromic degenerate singularities. Zbl 1258.34053 Giné, Jaume; Llibre, Jaume 8 2012 Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems. Zbl 1157.34022 Giné, J.; Llibre, J. 8 2006 Analytic nilpotent centers with analytic first integral. Zbl 1194.34048 García, Isaac A.; Giné, Jaume 8 2010 On the planar integrable differential systems. Zbl 1263.34046 Giné, Jaume; Llibre, Jaume 8 2011 Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities. Zbl 1348.34064 Giné, Jaume; Valls, Claudia 7 2015 Geometric criterium in the center problem. Zbl 1356.34035 Algaba, Antonio; García, Cristóbal; Giné, Jaume 7 2016 The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system. Zbl 1329.34064 Dolićanin, Diana; Giné, Jaume; Oliveira, Regilene; Romanovski, Valery G. 7 2013 Nondegenerate and nilpotent centers for a cubic system of differential equations. Zbl 1416.34020 Algaba, Antonio; García, Cristóbal; Giné, Jaume 7 2019 Center conditions for generalized polynomial Kukles systems. Zbl 1367.34031 Giné, Jaume 7 2017 The null divergence factor. Zbl 0880.34029 Chavarriga, Javier; Giacomini, H.; Giné, Jaume 7 1997 Analytic integrability and characterization of centers for nilpotent singular points. Zbl 1069.34045 Giné, Jaume 7 2004 Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001 Giné, Jaume; Llibre, Jaume 7 2020 Liénard and Riccati differential equations related via Lie algebras. Zbl 1162.34025 García, Isaac A.; Giné, Jaume; Llibre, Jaume 7 2008 The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor. Zbl 1523.34031 García, Isaac A.; Giné, Jaume 1 2023 Puiseux integrability of differential equations. Zbl 1527.34006 Demina, Maria V.; Giné, Jaume; Valls, Claudia 8 2022 Center problem with characteristic directions and inverse integrating factors. Zbl 1479.34058 García, Isaac A.; Giné, Jaume 4 2022 A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. Zbl 1505.34046 Giné, Jaume; Llibre, Jaume 3 2022 Baryogenesis in non-extensive Tsallis cosmology. Zbl 1510.83097 Luciano, Giuseppe Gaetano; Giné, Jaume 2 2022 Center problem for generic degenerate vector fields. Zbl 1487.34088 Algaba, Antonio; Díaz, María; García, Cristóbal; Giné, Jaume 1 2022 Linearizability of planar polynomial Hamiltonian systems. Zbl 1490.34046 Arcet, Barbara; Giné, Jaume; Romanovski, Valery G. 1 2022 Lower bounds for the local cyclicity for families of centers. Zbl 1467.34034 Giné, Jaume; Gouveia, Luiz F. S.; Torregrosa, Joan 16 2021 Formal Weierstrass integrability for a Liénard differential system. Zbl 1483.34007 Ferčec, Brigita; Giné, Jaume 4 2021 A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. Zbl 1459.14023 Giné, Jaume; Llibre, Jaume 2 2021 Analytic integrability of certain resonant saddle. Zbl 1498.34088 Christopher, Colin; Giné, Jaume 1 2021 Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024 García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna 1 2021 Simultaneity of centres in double-reversible planar differential systems. Zbl 1471.34059 Giné, Jaume; Valls, Claudia 1 2021 Generalized Dirac equation for a particle in a gravitational field. Zbl 1483.83037 Chemisana, Daniel; Giné, Jaume; Madrid, Jaime 1 2021 A new normal form for monodromic nilpotent singularities of planar vector fields. Zbl 1482.34106 Algaba, Antonio; García, Cristóbal; Giné, Jaume 1 2021 Modified Hawking effect from generalized uncertainty principle. Zbl 1521.83112 Giné, Jaume 1 2021 Strongly formal Weierstrass non-integrability for polynomial differential systems in \(\mathbb{C}^2\). Zbl 1449.34001 Giné, Jaume; Llibre, Jaume 10 2020 Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001 Giné, Jaume; Llibre, Jaume 7 2020 Analytic integrability around a nilpotent singularity: the non-generic case. Zbl 1483.34006 Algaba, Antonio; Díaz, María; García, Cristóbal; Giné, Jaume 4 2020 Nonlinear oscillations in the modified Leslie-Gower model. Zbl 1460.34053 Giné, Jaume; Valls, Claudia 4 2020 Highest weak focus order for trigonometric Liénard equations. Zbl 1450.34022 Gasull, Armengol; Giné, Jaume; Valls, Claudia 3 2020 Center conditions of a particular polynomial differential system with a nilpotent singularity. Zbl 1478.34031 Algaba, Antonio; García, Cristóbal; Giné, Jaume 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 Small-amplitude limit cycles of certain planar differential systems. Zbl 1447.34031 Giné, Jaume; Valls, Claudia 1 2020 Orbitally universal centers. Zbl 1511.34038 Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume 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 Analytic integrability around a nilpotent singularity. Zbl 1432.34002 Algaba, Antonio; García, Cristóbal; Giné, Jaume 10 2019 Nondegenerate and nilpotent centers for a cubic system of differential equations. Zbl 1416.34020 Algaba, Antonio; García, Cristóbal; Giné, Jaume 7 2019 Blow-up method to compute necessary conditions of integrability for planar differential systems. Zbl 1428.34041 Ferčec, Brigita; Giné, Jaume 6 2019 A counterexample to the composition condition conjecture for polynomial Abel differential equations. Zbl 1439.34035 Giné, Jaume; Grau, Maite; Santallusia, Xavier 5 2019 Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor. Zbl 1464.34006 Algaba, Antonio; García, Cristóbal; Giné, Jaume 5 2019 On the critical points of the flight return time function of perturbed closed orbits. Zbl 1433.34058 Buică, Adriana; Giné, Jaume; Grau, Maite 2 2019 The Liouvillian integrability of several oscillators. Zbl 1422.34003 Giné, Jaume; Valls, Claudia 1 2019 The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields. Zbl 1395.34047 Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume 13 2018 Simultaneity of centres in \(\mathbb{Z}_q\)-equivariant systems. Zbl 1402.34035 Giné, Jaume; Llibre, Jaume; Valls, Claudia 6 2018 Nondegenerate centers and limit cycles of cubic Kolmogorov systems. Zbl 1390.37082 Algaba, Antonio; García, Cristóbal; Giné, Jaume 5 2018 A blow-up method to prove formal integrability for some planar differential systems. Zbl 1460.34007 Ferčec, Brigita; Giné, Jaume 5 2018 The generalized polynomial Moon-Rand system. Zbl 1398.34046 Giné, Jaume; Valls, Claudia 4 2018 Casimir effect and the uncertainty principle. Zbl 1392.81206 Giné, Jaume 3 2018 On the mechanisms for producing linear type centers in polynomial differential systems. Zbl 1453.34040 Giné, Jaume; Llibre, Jaume 3 2018 The cubic polynomial differential systems with two circles as algebraic limit cycles. Zbl 1382.34030 Giné, Jaume; Llibre, Jaume; Valls, Claudia 1 2018 Integrability conditions for complex homogeneous kukles systems. Zbl 1417.34069 Giné, Jaume; Valls, Claudia 1 2018 Center conditions for polynomial Liénard systems. Zbl 1392.34027 Giné, Jaume 17 2017 Integrability of Liénard systems with a weak saddle. Zbl 1379.37048 Gasull, Armengol; Giné, Jaume 10 2017 Liénard equation and its generalizations. Zbl 1370.34026 Giné, Jaume 9 2017 Centers for the Kukles homogeneous systems with even degree. Zbl 1456.34027 Gine, Jaume; Llibre, Jaume; Valls, Claudia 9 2017 Center conditions for generalized polynomial Kukles systems. Zbl 1367.34031 Giné, Jaume 7 2017 Nondegenerate centers for Abel polynomial differential equations of second kind. Zbl 1378.34046 Giné, Jaume; Valls, Claudia 6 2017 On the integrability of Liénard systems with a strong saddle. Zbl 1373.34024 Giné, Jaume; Llibre, Jaume 6 2017 Center problem for trigonometric Liénard systems. Zbl 1371.34043 Gasull, Armengol; Giné, Jaume; Valls, Claudia 5 2017 Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems. Zbl 1372.34063 Giné, Jaume; Llibre, Jaume 5 2017 Integrability conditions for complex Kukles systems. Zbl 1383.34051 Giné, Jaume; Valls, Claudia 2 2017 Centers of weight-homogeneous polynomial vector fields on the plane. Zbl 1380.37043 Giné, Jaume; Llibre, Jaume; Valls, Claudia 2 2017 Center conditions and limit cycles for BiLiénard systems. Zbl 1377.34037 Giné, Jaume 1 2017 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062 Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 22 2016 Analytic nilpotent centers as limits of nondegenerate centers revisited. Zbl 1341.34040 García, Isaac A.; Giacomini, Héctor; Giné, Jaume; Llibre, Jaume 18 2016 Nilpotent centres via inverse integrating factors. Zbl 1384.34037 Algaba, Antonio; García, Cristóbal; Giné, Jaume 10 2016 Integrability conditions of a resonant saddle in Liénard-like complex systems. Zbl 1355.34056 Giné, Jaume; Valls, Claudia 9 2016 Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\). Zbl 1333.34043 Giné, Jaume; Valls, Claudia 8 2016 Geometric criterium in the center problem. Zbl 1356.34035 Algaba, Antonio; García, Cristóbal; Giné, Jaume 7 2016 Integrability of complex planar systems with homogeneous nonlinearities. Zbl 1337.34003 Ferčec, Brigita; Giné, Jaume; Romanovski, Valery G.; Edneral, Victor F. 6 2016 Center problem for systems with two monomial nonlinearities. Zbl 1388.34024 Gasull, Armengol; Giné, Jaume; Torregrosa, Joan 6 2016 A sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. Zbl 1332.14072 Braun, Francisco; Giné, Jaume; Llibre, Jaume 6 2016 Integrability of Lotka-Volterra planar complex cubic systems. Zbl 1334.34002 Dukarić, Maša; Giné, Jaume 6 2016 Analytic integrability inside a family of degenerate centers. Zbl 1354.34005 Algaba, Antonio; Checa, Isabel; García, Cristóbal; Giné, Jaume 5 2016 The center problem and composition condition for Abel differential equations. Zbl 1351.34030 Giné, Jaume; Grau, Maite; Santallusia, Xavier 4 2016 Analytic reducibility of nondegenerate centers: Cherkas systems. Zbl 1363.34092 Giné, Jaume; Llibre, Jaume 3 2016 Center conditions for nilpotent cubic systems using the Cherkas method. Zbl 07313694 Giné, Jaume 3 2016 Analytic integrability of some examples of degenerate planar vector fields. Zbl 1343.34003 Algaba, Antonio; García, Cristóbal; Giné, Jaume 2 2016 Reversible nilpotent centers with cubic homogeneous nonlinearities. Zbl 1336.34047 Dukarić, Maša; Giné, Jaume; Llibre, Jaume 1 2016 Analytic integrability of cubic-linear planar polynomial differential systems. Zbl 1337.34004 Giné, Jaume; Valls, Claudia 1 2016 Centers for the Kukles homogeneous systems with odd degree. Zbl 1323.34039 Giné, Jaume; Llibre, Jaume; Valls, Claudia 16 2015 Limit cycles bifurcating from planar polynomial quasi-homogeneous centers. Zbl 1332.34066 Giné, Jaume; Grau, Maite; Llibre, Jaume 8 2015 Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities. Zbl 1348.34064 Giné, Jaume; Valls, Claudia 7 2015 Essential perturbations of polynomial vector fields with a period annulus. Zbl 1318.34054 Buică, Adriana; Giné, Jaume; Grau, Maite 5 2015 Centers and isochronous centers for generalized quintic systems. Zbl 1309.34040 Giné, Jaume; Llibre, Jaume; Valls, Claudia 3 2015 A method for characterizing nilpotent centers. Zbl 1323.34038 Giné, Jaume; Llibre, Jaume 15 2014 Analytic integrability for some degenerate planar vector fields. Zbl 1306.34046 Algaba, Antonio; García, Cristóbal; Giné, Jaume 12 2014 Universal centers in the cubic trigonometric Abel equation. Zbl 1324.34068 Giné, Jaume; Grau, Maite; Santallusia, Xavier 6 2014 Periodic solutions for nonlinear differential systems: the second- order bifurcation function. Zbl 1360.34089 Buică, Adriana; Giné, Jaume; Llibre, Jaume 5 2014 The center problem for a \({1:-4}\) resonant quadratic system. Zbl 1301.34043 Ferčec, Brigita; Giné, Jaume; Mencinger, Matej; Oliveira, Regilene 4 2014 Centers for a class of generalized quintic polynomial differential systems. Zbl 1334.34075 Giné, Jaume; Llibre, Jaume; Valls, Claudia 4 2014 The solution of the \(1:-3\) resonant center problem in the quadratic case. Zbl 1334.34067 Dukarić, Maša; Ferčec, Brigita; Giné, Jaume 3 2014 Singularity analysis in planar vector fields. Zbl 1342.34048 Giné, Jaume 2 2014 Non-existence of limit cycles for planar vector fields. Zbl 1295.34043 Gine, Jaume 1 2014 Polynomial and rational first integrals for planar homogeneous polynomial differential systems. Zbl 1310.34003 Giné, Jaume; Grau, Maite; Llibre, Jaume 1 2014 Averaging theory at any order for computing periodic orbits. Zbl 1267.34073 Giné, Jaume; Grau, Maite; Llibre, Jaume 32 2013 Universal centres and composition conditions. Zbl 1277.34034 Giné, Jaume; Grau, Maite; Llibre, Jaume 21 2013 Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems. Zbl 1282.34006 Giné, Jaume; Grau, Maite; Llibre, Jaume 15 2013 Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. Zbl 1280.34034 Ferčec, Brigita; Giné, Jaume; Liu, Yirong; Romanovski, Valery G. 12 2013 On the extensions of the Darboux theory of integrability. Zbl 1322.34004 Giné, Jaume; Grau, Maite; Llibre, Jaume 10 2013 The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system. Zbl 1329.34064 Dolićanin, Diana; Giné, Jaume; Oliveira, Regilene; Romanovski, Valery G. 7 2013 On the formal integrability problem for planar differential systems. Zbl 1282.34005 Algaba, Antonio; García, Cristóbal; Giné, Jaume 6 2013 Analytic integrability for some degenerate planar systems. Zbl 1278.34001 Algaba, Antonio; García, Cristóbal; Giné, Jaume 5 2013 A note on Liouvillian first integrals and invariant algebraic curves. Zbl 1270.34110 Giné, Jaume; Grau, Maite; Llibre, Jaume 5 2013 On the first integrals in the center problem. Zbl 1297.34044 Giné, Jaume 4 2013 Composition conditions in the trigonometric Abel equation. Zbl 1303.34029 Giné, Jaume; Grau, Maite; Santallusia, Xavier 3 2013 On the determination of the limit cycles using the harmonic balance method. Zbl 1290.34019 Giné, Jaume 1 2013 Higher order limit cycle bifurcations from non-degenerate centers. Zbl 1255.34041 Giné, Jaume 19 2012 ...and 104 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 573 Authors 157 Llibre, Jaume 156 Giné, Jaume 80 Valls Anglés, Cláudia 46 Algaba, Antonio 44 García, Cristóbal 40 García, Isaac A. 38 Romanovskiĭ, Valeriĭ Georgievich 30 Zhang, Xiang 26 Torregrosa, Joan 25 Gasull, Armengol 25 Han, Maoan 25 Wu, Yusen 24 Liu, Yirong 22 Li, Feng 22 Reyes, Manuel 19 Grau, Maite 19 Huang, Wentao 17 Giacomini, Hector J. 16 Chavarriga, Javier 14 Ferčec, Brigita 14 Ferragut, Antoni 14 Tang, Yilei 13 Maza, Susanna 13 Yu, Pei 12 Chen, Xingwu 12 Li, Shimin 12 Oliveira, Regilene D. S. 11 Demina, Maria V. 11 Zhao, Yulin 10 Sabatini, Marco 10 Zhang, Weinian 9 Bendjeddou, Ahmed 9 Yu, Jiang 8 Chen, Hebai 8 Chen, Ting 8 Du, Chaoxiong 8 Shafer, Douglas S. 8 Sinelshchikov, Dmitry I. 7 Buică, Adriana 7 Liang, Haihua 7 Liu, Changjian 7 Pantazi, Chara 7 Wang, Qinlong 7 Xiong, Yanqin 7 Zhang, Cui 6 Buzzi, Claudio Aguinaldo 6 Christopher, Colin J. 6 Fernandes, Wilker 6 Fuentes, Natalia 6 Gamero, Estanislao 6 Liu, Yuanyuan 6 Pessoa, Claudio 6 Prohens, Rafel 6 Tian, Yun 5 Alvarez, María Jesus 5 Benterki, Rebiha 5 Chen, Haibo 5 Colak, Ilker E. 5 Dolićanin-Đekić, Diana 5 Dukarić, Maša 5 García, Belén 5 Gouveia, Luiz F. S. 5 Huang, Bo 5 Li, Jibin 5 Li, Peiluan 5 Li, Weigu 5 Mahdi, Adam 5 Novaes, Douglas Duarte 5 Pakovich, Fedor 5 Pérez del Río, Jesús S. 5 Salhi, Tayeb 5 Santallusia, Xavier 5 Tian, Yuzhou 5 Yang, Jiazhong 5 Zhao, Liqin 4 Berbache, Aziza 4 Boukoucha, Rachid 4 Bravo, José Luis 4 Cândido, Murilo R. 4 Cima, Anna 4 García-Saldaña, Johanna D. 4 Hu, Yanxia 4 Li, Hongwei 4 Li, Tao 4 Mencinger, Matej 4 Peralta-Salas, Daniel 4 Rudenok, Aleksandr Evgen’evich 4 Sánchez-Sánchez, Iván 4 Vidal, Claudio 4 Walcher, Sebastian 4 Wu, Kuilin 4 Xiao, Dongmei 3 Artés, Joan Carles 3 Bai, Yuzhen 3 Benadouane, Sabah 3 Briskin, Miriam 3 Cai, Meilan 3 Cairó, Laurent 3 Cao, Jinlong 3 Checa, Isabel ...and 473 more Authors all top 5 Cited in 161 Serials 80 Journal of Mathematical Analysis and Applications 80 Journal of Differential Equations 52 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 49 Qualitative Theory of Dynamical Systems 31 Applied Mathematics and Computation 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Bulletin des Sciences Mathématiques 24 Chaos, Solitons and Fractals 23 Nonlinear Analysis. Real World Applications 16 Physica D 15 Applied Mathematics Letters 14 Discrete and Continuous Dynamical Systems 14 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Computational and Applied Mathematics 13 Nonlinear Dynamics 11 Differential Equations 11 Discrete and Continuous Dynamical Systems. Series B 10 Communications on Pure and Applied Analysis 10 Advances in Difference Equations 9 Computers & Mathematics with Applications 9 Rocky Mountain Journal of Mathematics 9 Journal of Dynamics and Differential Equations 8 Journal of Mathematical Physics 8 Acta Mathematica Sinica. English Series 7 Proceedings of the American Mathematical Society 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Journal of Nonlinear Mathematical Physics 7 Dynamical Systems 6 Journal of Geometry and Physics 6 Mathematics and Computers in Simulation 6 Journal of Symbolic Computation 6 Abstract and Applied Analysis 6 Journal of Dynamical and Control Systems 6 Applied Mathematics E-Notes 6 Mediterranean Journal of Mathematics 5 Nonlinearity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Acta Applicandae Mathematicae 5 Journal of Applied Mathematics 5 Journal of Applied Analysis and Computation 4 International Journal of Theoretical Physics 4 Advances in Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Ergodic Theory and Dynamical Systems 4 Mathematical and Computer Modelling 4 Buletinul Academiei de Științe a Republicii Moldova. Matematica 4 Discrete Dynamics in Nature and Society 4 Advances in Mathematical Physics 3 Astrophysics and Space Science 3 Physics Letters. A 3 Expositiones Mathematicae 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Differential Equations and Dynamical Systems 3 Communications in Contemporary Mathematics 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Journal of Physics A: Mathematical and Theoretical 3 Science China. Mathematics 2 Modern Physics Letters A 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Studies in Applied Mathematics 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 European Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Open Systems & Information Dynamics 2 Advanced Nonlinear Studies 2 International Journal of Geometric Methods in Modern Physics 2 International Journal of Differential Equations 2 Journal of Mathematics 2 Journal of Function Spaces 2 International Journal of Applied and Computational Mathematics 2 Journal of Siberian Federal University. Mathematics & Physics 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computers and Fluids 1 Communications in Mathematical Physics 1 European Journal of Physics 1 General Relativity and Gravitation 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Periodica Mathematica Hungarica 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Anais da Academia Brasileira de Ciências 1 Automatica 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin ...and 61 more Serials all top 5 Cited in 40 Fields 758 Ordinary differential equations (34-XX) 237 Dynamical systems and ergodic theory (37-XX) 28 Mechanics of particles and systems (70-XX) 21 Relativity and gravitational theory (83-XX) 16 Biology and other natural sciences (92-XX) 12 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 10 Quantum theory (81-XX) 9 Commutative algebra (13-XX) 8 Algebraic geometry (14-XX) 8 Operator theory (47-XX) 8 Computer science (68-XX) 7 Astronomy and astrophysics (85-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year