Edit Profile (opens in new tab) García, Isaac A. Co-Author Distance Author ID: garcia.isaac-a Published as: García, Isaac A.; García, I. A.; García, I.; García, Isaac; Garcia, Isaac more...less Further Spellings: García Rodríguez, Isaac A. Homepage: http://www.eps.udl.cat/ca/info_sobre/pdi/isaac-garcia-rodriguez/ External Links: MGP · ORCID · Google Scholar · dblp Documents Indexed: 89 Publications since 1996 Co-Authors: 16 Co-Authors with 75 Joint Publications 462 Co-Co-Authors all top 5 Co-Authors 14 single-authored 28 Giné, Jaume 23 Maza, Susanna 21 Chavarriga, Javier 13 Llibre, Jaume 7 Buică, Adriana 7 Grau, Maite 6 Shafer, Douglas S. 5 Giacomini, Hector J. 5 Hernández-Bermejo, Benito 4 Sorolla, Jordi 2 Valls Anglés, Cláudia 1 Mallol, Josep 1 Ribereau, E. 1 Sáez, Eduardo 1 Szántó, Iván 1 Żołądek, Henryk all top 5 Serials 10 Journal of Differential Equations 7 Journal of Mathematical Analysis and Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Dynamics and Differential Equations 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems 2 Nonlinearity 2 Physics Letters. A 2 Proceedings of the American Mathematical Society 2 Physica D 2 Journal of Lie Theory 2 Communications in Nonlinear Science and Numerical Simulation 2 Qualitative Theory of Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 Dynamical Systems 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Differential Equations and Dynamical Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 DGDS. Differential Geometry – Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Advances in Nonlinear Analysis 1 European Journal of Mathematics all top 5 Fields 80 Ordinary differential equations (34-XX) 47 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 668 times in 350 Documents Cited by ▼ Year ▼ 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 A survey on the inverse integrating factor. Zbl 1364.34005 García, Isaac A.; Grau, Maite 34 2010 Isochronicity into a family of time-reversible cubic vector fields. Zbl 1025.37011 Chavarriga, J.; García, I. A.; Giné, J. 31 2001 Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem. Zbl 1252.37040 Buică, Adriana; García, Isaac A.; Maza, Susanna 27 2012 The inverse integrating factor and the Poincaré map. Zbl 1203.37086 García, Isaac A.; Giacomini, Héctor; Grau, Maite 26 2010 Isochronous centers of cubic systems with degenerate infinity. Zbl 0982.34025 Chavarriga, J.; Giné, J.; García, I. 25 1999 Generalized cofactors and nonlinear superposition principles. Zbl 1057.34002 García, I. A.; Giné, J. 22 2003 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 Analytic nilpotent centers as limits of nondegenerate centers revisited. Zbl 1341.34040 García, Isaac A.; Giacomini, Héctor; Giné, Jaume; Llibre, Jaume 19 2016 Generalized nonlinear superposition principles for polynomial planar vector fields. Zbl 1073.34003 García, Isaac A.; Giacomini, Hector; Giné, Jaume 18 2005 Generalized Hopf bifurcation for planar vector fields via the inverse integrating factor. Zbl 1218.37065 García, Isaac A.; Giacomini, Héctor; Grau, Maite 17 2011 Integrability of centers perturbed by quasi-homogeneous polynomials. Zbl 0876.34008 Chavarriga, J.; García, I.; Giné, J. 16 1997 Integral invariants and limit sets of planar vector fields. Zbl 1092.34013 García, Isaac A.; Shafer, Douglas S. 16 2005 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 Multiple Hopf bifurcation in \(\mathbb R^3\) and inverse Jacobi multipliers. Zbl 1346.37050 Buică, Adriana; García, Isaac A.; Maza, Susanna 15 2014 On the integrability of quasihomogeneous and related planar vector fields. Zbl 1077.34033 García, Isaac A. 14 2003 Non-algebraic invariant curves for polynomial planar vector fields. Zbl 1050.34033 García, Isaac A.; Giné, Jaume 11 2004 Invariant algebraic curves for the cubic Liénard system with linear damping. Zbl 1123.34024 Chavarriga, J.; García, I. A.; Llibre, J.; Żołądek, H. 10 2006 On Lie’s symmetries for planar polynomial differential systems. Zbl 0987.34027 Chavarriga, J.; García, I. A.; Giné, J. 10 2001 Cyclicity of polynomial nondegenerate centers on center manifolds. Zbl 1434.37030 García, Isaac A.; Maza, Susanna; Shafer, Douglas S. 10 2018 A new approach to center conditions for simple analytic monodromic singularities. Zbl 1192.34039 García, Isaac A.; Maza, Susanna 10 2010 The center problem via averaging method. Zbl 1171.34311 García, Isaac A.; Giné, Jaume 9 2009 Analytic nilpotent centers with analytic first integral. Zbl 1194.34048 García, Isaac A.; Giné, Jaume 9 2010 Linearization of analytic isochronous centers from a given commutator. Zbl 1148.34029 García, Isaac A.; Maza, Susanna 8 2008 Center cyclicity of Lorenz, Chen and Lü systems. Zbl 1428.37046 García, Isaac A.; Maza, Susanna; Shafer, Douglas S. 8 2019 Formal inverse integrating factor and the nilpotent center problem. Zbl 1334.34068 García, Isaac A. 8 2016 Liénard and Riccati differential equations related via Lie algebras. Zbl 1162.34025 García, Isaac A.; Giné, Jaume; Llibre, Jaume 7 2008 Perturbed Euler top and bifurcation of limit cycles on invariant Casimir surfaces. Zbl 1207.37038 García, Isaac A.; Hernández-Bermejo, Benito 7 2010 Cyclicity of some symmetric nilpotent centers. Zbl 1359.37044 García, Isaac A. 7 2016 First integrals and Darboux polynomials of natural polynomial Hamiltonian systems. Zbl 1238.70012 García, Isaac A.; Grau, Maite; Llibre, Jaume 6 2010 Limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1124.34017 Chavarriga, J.; García, I. A.; Sáez, E.; Szántó, I. 6 2007 The three-dimensional center problem for the zero-Hopf singularity. Zbl 1366.37051 Valls, Claudia; García, Isaac 6 2016 Cyclicity of a class of polynomial nilpotent center singularities. Zbl 1336.37041 García, Isaac A.; Shafer, Douglas S. 6 2016 Integrability and explicit solutions in some Bianchi cosmological dynamical systems. Zbl 0972.35169 Chavarriga, J.; García, I. A. 5 2001 Existence of limit cycles for real quadratic differential systems with an invariant cubic. Zbl 1116.34025 Chavarriga, Javier; García, Isaac A. 5 2006 On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables. Zbl 1410.34169 García, Isaac A.; Llibre, Jaume; Maza, Susanna 5 2014 Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries. Zbl 1311.37036 García, Isaac A.; Maza, Susanna; Shafer, Douglas S. 5 2013 Periodic orbits and their stability in the Rössler prototype-4 system. Zbl 1266.34071 García, Isaac A.; Llibre, Jaume; Maza, Susanna 5 2012 Non-nested configuration of algebraic limit cycles in quadratic systems. Zbl 1107.34026 Chavarriga, J.; García, I. A.; Sorolla, J. 4 2006 Quadratic systems having third-degree invariant algebraic curves. Zbl 1012.34023 Chavarriga, J.; García, I. A.; Giné, J.; Ribereau, E. 4 2000 Transcendental limit cycles via the structure of arbitrary degree invariant algebraic curves of polynomial planar vector fields. Zbl 1085.34024 García, Isaac A. 4 2005 Inverse Jacobi multipliers and first integrals for nonautonomous differential systems. Zbl 1330.34015 Buică, Adriana; García, Isaac A. 4 2015 Center problem with characteristic directions and inverse integrating factors. Zbl 1479.34058 García, Isaac A.; Giné, Jaume 4 2022 Integrable zero-Hopf singularities and three-dimensional centres. Zbl 1388.34023 García, Isaac A. 4 2018 Periodic orbits in analytically perturbed Poisson systems. Zbl 1370.34097 García, Isaac A.; Hernández-Bermejo, Benito 4 2014 The Hopf cyclicity of the centers of a class of quintic polynomial vector fields. Zbl 1351.37205 García, Isaac A.; Llibre, Jaume; Maza, Susanna 4 2015 Lie symmetries of quasihomogeneous polynomial planar vector fields and certain perturbations. Zbl 1100.34027 Chavarriga, Javier; García, Isaac A. 4 2005 Resolution of the Poincaré problem and nonexistence of algebraic limit cycles in family (I) of Chinese classification. Zbl 1084.34038 Chavarriga, Javier; García, Isaac A.; Sorolla, Jordi 3 2005 On the existence of polynomial inverse integrating factors in quadratic systems with limit cycles. Zbl 1083.34028 García, Isaac A.; Giné, Jaume; Sorolla, Jordi 3 2005 Isochronous centers of cubic reversible systems. Zbl 1229.34044 Chavarriga, Javier; García, Isaac 3 1999 Classical planar algebraic curves realizable by quadratic polynomial differential systems. Zbl 1373.34048 García, Isaac A.; Llibre, Jaume 3 2017 Inverse Jacobi multiplier as a link between conservative systems and Poisson structures. Zbl 1377.37079 García, Isaac A.; Hernández-Bermejo, Benito 3 2017 Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra. Zbl 1206.34052 García, Isaac A.; Giné, Jaume; Maza, Susanna 3 2010 Periodic solutions of the perturbed symmetric Euler top. Zbl 1221.34107 Buică, Adriana; García, Isaac A. 3 2010 Some remarks on inverse Jacobi multipliers around Hopf singularities. Zbl 1316.37028 Buică, Adriana; García, Isaac A.; Maza, Susanna 3 2014 The Poincaré problem in the non-resonant case: an algebraic approach. Zbl 1169.34026 Chavarriga, Javier; García, Isaac A. 2 2006 Cyclicity of nilpotent centers with minimum Andreev number. Zbl 1458.34062 García, Isaac A. 2 2019 On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations. Zbl 1395.37032 García, Isaac A.; Llibre, Jaume; Maza, Susanna 2 2018 Orbital linearization around equilibria of vector fields in \(\mathbb R^n\) and Lie symmetries. Zbl 1306.37048 García, Isaac A. 2 2013 Complete integrability, orbital linearizability and independent normalizers for local vector fields in \(\mathbb{R}^{n}\). Zbl 1370.37109 García, Isaac A. 2 2015 Poisson systems as the natural framework for additional first integrals via Darboux invariant hypersurfaces. Zbl 1314.37043 García, Isaac A.; Hernández-Bermejo, Benito 2 2013 Inverse Jacobi multipliers: recent applications in dynamical systems. Zbl 1348.37083 Buică, Adriana; García, Isaac A.; Maza, Susanna 2 2013 Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field. Zbl 1424.37012 Garcia, Isaac; Maza, Susanna 1 2019 Isochronous centers of a linear center perturbed by homogeneous polynomials. Zbl 0905.34024 Chavarriga, Javier; Giné, Jaume; García, I. 1 1996 Some criteria for the existence of limit cycles for quadratic vector fields. Zbl 1073.34029 Chavarriga, J.; García, I. A. 1 2003 Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024 García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna 1 2021 The cyclicity of polynomial centers via the reduced Bautin depth. Zbl 1353.37101 García, Isaac A. 1 2016 Center cyclicity of a family of quartic polynomial differential system. Zbl 1375.37139 García, Isaac A.; Llibre, Jaume; Maza, Susanna 1 2016 Center problem and \(\nu \)-cyclicity of polynomial zero-Hopf singularities with non-singular rotation axis. Zbl 1480.34043 García, Isaac A. 1 2021 Center cyclicity for some nilpotent singularities including the \(\mathbb{Z}_2\)-equivariant class. Zbl 1512.37055 García, Isaac A. 1 2021 The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor. Zbl 1523.34031 García, Isaac A.; Giné, Jaume 1 2023 The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor. Zbl 1523.34031 García, Isaac A.; Giné, Jaume 1 2023 Center problem with characteristic directions and inverse integrating factors. Zbl 1479.34058 García, Isaac A.; Giné, Jaume 4 2022 Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024 García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna 1 2021 Center problem and \(\nu \)-cyclicity of polynomial zero-Hopf singularities with non-singular rotation axis. Zbl 1480.34043 García, Isaac A. 1 2021 Center cyclicity for some nilpotent singularities including the \(\mathbb{Z}_2\)-equivariant class. Zbl 1512.37055 García, Isaac A. 1 2021 Center cyclicity of Lorenz, Chen and Lü systems. Zbl 1428.37046 García, Isaac A.; Maza, Susanna; Shafer, Douglas S. 8 2019 Cyclicity of nilpotent centers with minimum Andreev number. Zbl 1458.34062 García, Isaac A. 2 2019 Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field. Zbl 1424.37012 Garcia, Isaac; Maza, Susanna 1 2019 Cyclicity of polynomial nondegenerate centers on center manifolds. Zbl 1434.37030 García, Isaac A.; Maza, Susanna; Shafer, Douglas S. 10 2018 Integrable zero-Hopf singularities and three-dimensional centres. Zbl 1388.34023 García, Isaac A. 4 2018 On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations. Zbl 1395.37032 García, Isaac A.; Llibre, Jaume; Maza, Susanna 2 2018 Classical planar algebraic curves realizable by quadratic polynomial differential systems. Zbl 1373.34048 García, Isaac A.; Llibre, Jaume 3 2017 Inverse Jacobi multiplier as a link between conservative systems and Poisson structures. Zbl 1377.37079 García, Isaac A.; Hernández-Bermejo, Benito 3 2017 Analytic nilpotent centers as limits of nondegenerate centers revisited. Zbl 1341.34040 García, Isaac A.; Giacomini, Héctor; Giné, Jaume; Llibre, Jaume 19 2016 Formal inverse integrating factor and the nilpotent center problem. Zbl 1334.34068 García, Isaac A. 8 2016 Cyclicity of some symmetric nilpotent centers. Zbl 1359.37044 García, Isaac A. 7 2016 The three-dimensional center problem for the zero-Hopf singularity. Zbl 1366.37051 Valls, Claudia; García, Isaac 6 2016 Cyclicity of a class of polynomial nilpotent center singularities. Zbl 1336.37041 García, Isaac A.; Shafer, Douglas S. 6 2016 The cyclicity of polynomial centers via the reduced Bautin depth. Zbl 1353.37101 García, Isaac A. 1 2016 Center cyclicity of a family of quartic polynomial differential system. Zbl 1375.37139 García, Isaac A.; Llibre, Jaume; Maza, Susanna 1 2016 Inverse Jacobi multipliers and first integrals for nonautonomous differential systems. Zbl 1330.34015 Buică, Adriana; García, Isaac A. 4 2015 The Hopf cyclicity of the centers of a class of quintic polynomial vector fields. Zbl 1351.37205 García, Isaac A.; Llibre, Jaume; Maza, Susanna 4 2015 Complete integrability, orbital linearizability and independent normalizers for local vector fields in \(\mathbb{R}^{n}\). Zbl 1370.37109 García, Isaac A. 2 2015 Multiple Hopf bifurcation in \(\mathbb R^3\) and inverse Jacobi multipliers. Zbl 1346.37050 Buică, Adriana; García, Isaac A.; Maza, Susanna 15 2014 On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables. Zbl 1410.34169 García, Isaac A.; Llibre, Jaume; Maza, Susanna 5 2014 Periodic orbits in analytically perturbed Poisson systems. Zbl 1370.34097 García, Isaac A.; Hernández-Bermejo, Benito 4 2014 Some remarks on inverse Jacobi multipliers around Hopf singularities. Zbl 1316.37028 Buică, Adriana; García, Isaac A.; Maza, Susanna 3 2014 Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries. Zbl 1311.37036 García, Isaac A.; Maza, Susanna; Shafer, Douglas S. 5 2013 Orbital linearization around equilibria of vector fields in \(\mathbb R^n\) and Lie symmetries. Zbl 1306.37048 García, Isaac A. 2 2013 Poisson systems as the natural framework for additional first integrals via Darboux invariant hypersurfaces. Zbl 1314.37043 García, Isaac A.; Hernández-Bermejo, Benito 2 2013 Inverse Jacobi multipliers: recent applications in dynamical systems. Zbl 1348.37083 Buică, Adriana; García, Isaac A.; Maza, Susanna 2 2013 Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem. Zbl 1252.37040 Buică, Adriana; García, Isaac A.; Maza, Susanna 27 2012 Periodic orbits and their stability in the Rössler prototype-4 system. Zbl 1266.34071 García, Isaac A.; Llibre, Jaume; Maza, Susanna 5 2012 Generalized Hopf bifurcation for planar vector fields via the inverse integrating factor. Zbl 1218.37065 García, Isaac A.; Giacomini, Héctor; Grau, Maite 17 2011 A survey on the inverse integrating factor. Zbl 1364.34005 García, Isaac A.; Grau, Maite 34 2010 The inverse integrating factor and the Poincaré map. Zbl 1203.37086 García, Isaac A.; Giacomini, Héctor; Grau, Maite 26 2010 A new approach to center conditions for simple analytic monodromic singularities. Zbl 1192.34039 García, Isaac A.; Maza, Susanna 10 2010 Analytic nilpotent centers with analytic first integral. Zbl 1194.34048 García, Isaac A.; Giné, Jaume 9 2010 Perturbed Euler top and bifurcation of limit cycles on invariant Casimir surfaces. Zbl 1207.37038 García, Isaac A.; Hernández-Bermejo, Benito 7 2010 First integrals and Darboux polynomials of natural polynomial Hamiltonian systems. Zbl 1238.70012 García, Isaac A.; Grau, Maite; Llibre, Jaume 6 2010 Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra. Zbl 1206.34052 García, Isaac A.; Giné, Jaume; Maza, Susanna 3 2010 Periodic solutions of the perturbed symmetric Euler top. Zbl 1221.34107 Buică, Adriana; García, Isaac A. 3 2010 The center problem via averaging method. Zbl 1171.34311 García, Isaac A.; Giné, Jaume 9 2009 Linearization of analytic isochronous centers from a given commutator. Zbl 1148.34029 García, Isaac A.; Maza, Susanna 8 2008 Liénard and Riccati differential equations related via Lie algebras. Zbl 1162.34025 García, Isaac A.; Giné, Jaume; Llibre, Jaume 7 2008 Limit cycles in Kukles systems of arbitrary degree with invariant ellipse. Zbl 1124.34017 Chavarriga, J.; García, I. A.; Sáez, E.; Szántó, I. 6 2007 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 Invariant algebraic curves for the cubic Liénard system with linear damping. Zbl 1123.34024 Chavarriga, J.; García, I. A.; Llibre, J.; Żołądek, H. 10 2006 Existence of limit cycles for real quadratic differential systems with an invariant cubic. Zbl 1116.34025 Chavarriga, Javier; García, Isaac A. 5 2006 Non-nested configuration of algebraic limit cycles in quadratic systems. Zbl 1107.34026 Chavarriga, J.; García, I. A.; Sorolla, J. 4 2006 The Poincaré problem in the non-resonant case: an algebraic approach. Zbl 1169.34026 Chavarriga, Javier; García, Isaac A. 2 2006 Generalized nonlinear superposition principles for polynomial planar vector fields. Zbl 1073.34003 García, Isaac A.; Giacomini, Hector; Giné, Jaume 18 2005 Integral invariants and limit sets of planar vector fields. Zbl 1092.34013 García, Isaac A.; Shafer, Douglas S. 16 2005 Transcendental limit cycles via the structure of arbitrary degree invariant algebraic curves of polynomial planar vector fields. Zbl 1085.34024 García, Isaac A. 4 2005 Lie symmetries of quasihomogeneous polynomial planar vector fields and certain perturbations. Zbl 1100.34027 Chavarriga, Javier; García, Isaac A. 4 2005 Resolution of the Poincaré problem and nonexistence of algebraic limit cycles in family (I) of Chinese classification. Zbl 1084.34038 Chavarriga, Javier; García, Isaac A.; Sorolla, Jordi 3 2005 On the existence of polynomial inverse integrating factors in quadratic systems with limit cycles. Zbl 1083.34028 García, Isaac A.; Giné, Jaume; Sorolla, Jordi 3 2005 Non-algebraic invariant curves for polynomial planar vector fields. Zbl 1050.34033 García, Isaac A.; Giné, Jaume 11 2004 Generalized cofactors and nonlinear superposition principles. Zbl 1057.34002 García, I. A.; Giné, J. 22 2003 On the integrability of quasihomogeneous and related planar vector fields. Zbl 1077.34033 García, Isaac A. 14 2003 Some criteria for the existence of limit cycles for quadratic vector fields. Zbl 1073.34029 Chavarriga, J.; García, I. A. 1 2003 Isochronicity into a family of time-reversible cubic vector fields. Zbl 1025.37011 Chavarriga, J.; García, I. A.; Giné, J. 31 2001 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 On Lie’s symmetries for planar polynomial differential systems. Zbl 0987.34027 Chavarriga, J.; García, I. A.; Giné, J. 10 2001 Integrability and explicit solutions in some Bianchi cosmological dynamical systems. Zbl 0972.35169 Chavarriga, J.; García, I. A. 5 2001 Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials. Zbl 0978.34028 Chavarriga, J.; Giné, J.; García, I. A. 51 2000 Quadratic systems having third-degree invariant algebraic curves. Zbl 1012.34023 Chavarriga, J.; García, I. A.; Giné, J.; Ribereau, E. 4 2000 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 cubic systems with degenerate infinity. Zbl 0982.34025 Chavarriga, J.; Giné, J.; García, I. 25 1999 Isochronous centers of cubic reversible systems. Zbl 1229.34044 Chavarriga, Javier; García, Isaac 3 1999 Integrability of centers perturbed by quasi-homogeneous polynomials. Zbl 0876.34008 Chavarriga, J.; García, I.; Giné, J. 16 1997 Isochronous centers of a linear center perturbed by homogeneous polynomials. Zbl 0905.34024 Chavarriga, Javier; Giné, Jaume; García, I. 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 288 Authors 58 Giné, Jaume 52 Llibre, Jaume 43 García, Isaac A. 29 Algaba, Antonio 28 García, Cristóbal 20 Romanovskiĭ, Valeriĭ Georgievich 20 Wu, Yusen 17 Liu, Yirong 17 Maza, Susanna 17 Valls Anglés, Cláudia 17 Zhang, Xiang 14 Li, Feng 13 Huang, Wentao 13 Reyes, Manuel 10 Grau, Maite 9 Chavarriga, Javier 9 Zhao, Yulin 8 Chen, Xingwu 8 Demina, Maria V. 8 Gasull, Armengol 7 Pessoa, Claudio 7 Tang, Yilei 7 Wang, Qinlong 7 Yu, Pei 7 Zhang, Weinian 6 Buică, Adriana 6 Ferragut, Antoni 6 Giacomini, Hector J. 6 Hernández-Bermejo, Benito 6 Zhang, Cui 5 Fernandes, Wilker 5 Fuentes, Natalia 5 Liang, Haihua 4 Boukoucha, Rachid 4 Chen, Ting 4 Dolićanin-Đekić, Diana 4 Gamero, Estanislao 4 Li, Peiluan 4 Li, Shimin 4 Oliveira, Regilene D. S. 4 Queiroz, Lucas 4 Sáez, Eduardo 4 Szántó, Iván 3 Chouikha, Abd Raouf 3 Du, Chaoxiong 3 Ferčec, Brigita 3 Freire Macías, Emilio 3 Hu, Yanxia 3 Li, Hongwei 3 Mahdi, Adam 3 Pantazi, Chara 3 Peralta-Salas, Daniel 3 Rudenok, Aleksandr Evgen’evich 3 Shafer, Douglas S. 3 Torregrosa, Joan 3 Yu, Jiang 2 Belfar, Ahlam 2 Benterki, Rebiha 2 Boussaada, Islam 2 Buzzi, Claudio Aguinaldo 2 Cariñena, José F. 2 de Lucas, Javier 2 Feng, Jingjing 2 Feng, Li 2 Frías-Armenta, Martín Eduardo 2 Ghose Choudhury, Anindya 2 Gu, Jieping 2 Guha, Partha 2 Guillamon, Antoni 2 Han, Maoan 2 Hu, Zhaoping 2 Huang, Jianfeng 2 Itikawa, Jackson 2 Khajoei, Najmeh 2 Li, Jibin 2 Li, Jing 2 Li, Tao 2 Liu, Luju 2 Liu, Yuanyuan 2 López-González, Elifalet 2 Mi, Heilong 2 Mohanasubha, R. 2 Qian, Xinjie 2 Qiu, Jianlong 2 Rabanal, Roland 2 Ribeiro, Jarne D. 2 Senthilvelan, Murugaian 2 Sinelshchikov, Dmitry I. 2 Strelcyn, Jean-Marie 2 Tian, Yun 2 Volokitin, Evgeniĭ Pavlovich 2 Wu, Kuilin 2 Yang, Jiazhong 2 Zegeling, André 1 Acosta Humánez, Primitivo Belén 1 Al-Dosary, Khalil I. T. 1 Alcorta García, Maria Aracelia 1 Aldazharova, Maira 1 Aldibekov, Tamasha M. 1 Al-saedi, Ahmed Eid Salem ...and 188 more Authors all top 5 Cited in 90 Serials 38 Journal of Mathematical Analysis and Applications 29 Journal of Differential Equations 22 Qualitative Theory of Dynamical Systems 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Applied Mathematics and Computation 12 Communications in Nonlinear Science and Numerical Simulation 10 Bulletin des Sciences Mathématiques 9 Nonlinear Dynamics 8 Journal of Mathematical Physics 8 Discrete and Continuous Dynamical Systems 7 Physica D 7 Nonlinear Analysis. Real World Applications 7 Advances in Difference Equations 6 Computers & Mathematics with Applications 6 Journal of Computational and Applied Mathematics 6 Differential Equations 5 Chaos, Solitons and Fractals 5 Applied Mathematics Letters 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 4 Proceedings of the American Mathematical Society 4 Journal of Dynamics and Differential Equations 4 Acta Mathematica Sinica. English Series 4 Journal of Nonlinear Mathematical Physics 4 Journal of Applied Mathematics 3 Rocky Mountain Journal of Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics and Computers in Simulation 3 Acta Applicandae Mathematicae 3 Expositiones Mathematicae 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Journal of Symbolic Computation 2 European Journal of Applied Mathematics 2 Abstract and Applied Analysis 2 International Journal of Geometric Methods in Modern Physics 2 Mediterranean Journal of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Function Spaces 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Rendiconti del Circolo Matemàtico di Palermo. 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