Edit Profile (opens in new tab) Villadelprat, Jordi Co-Author Distance Author ID: villadelprat.jordi Published as: Villadelprat, J.; Villadelprat, Jordi Homepage: http://www.gsd.uab.es/index.php?option=com_jresearch&view=member&task=show&forme... External Links: ORCID · ResearchGate Documents Indexed: 46 Publications since 1998, including 3 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 42 Joint Publications 732 Co-Co-Authors all top 5 Co-Authors 4 single-authored 15 Marín Pérez, David 12 Mañosas, Francesc 5 Mardešić, Pavao 4 Rojas, David 3 Cima, Anna 3 Garijo, Antonio 3 Jarque, Xavier 2 Gasull, Armengol 2 Grau, Maite 2 Saavedra, Mariana 1 Arenas, Alex 1 Bonatti, Christian 1 Figueras, Jordi-Lluís 1 Geyer, Anna 1 Gómez, Sergio Alejandro 1 Guillamon, Antoni 1 Huang, Jianfeng 1 Llibre, Jaume 1 Mañosa, Víctor 1 Queiroz, Lucas 1 Torregrosa, Joan 1 Tucker, Warwick 1 Zhang, Xiang all top 5 Serials 18 Journal of Differential Equations 3 Qualitative Theory of Dynamical Systems 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Topology 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Differential and Integral Equations 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Discrete and Continuous Dynamical Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Dynamical and Control Systems 1 SIAM Journal on Applied Dynamical Systems all top 5 Fields 42 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 602 times in 279 Documents Cited by ▼ Year ▼ A Chebyshev criterion for Abelian integrals. Zbl 1217.34052 Grau, M.; Mañosas, F.; Villadelprat, J. 97 2011 Isochronicity for several classes of Hamiltonian systems. Zbl 0941.34017 Cima, A.; Mañosas, F.; Villadelprat, J. 57 1999 Bounding the number of zeros of certain abelian integrals. Zbl 1237.34039 Mañosas, F.; Villadelprat, J. 55 2011 The period function of reversible quadratic centers. Zbl 1092.34020 Mardešić, P.; Marín, D.; Villadelprat, J. 39 2006 Bifurcation of critical periods from Pleshkan’s isochrones. Zbl 1196.34048 Grau, M.; Villadelprat, J. 23 2010 On the reversible quadratic centers with monotonic period function. Zbl 1122.34024 Villadelprat, J. 22 2007 On the time function of the Dulac map for families of meromorphic vector fields. Zbl 1034.34037 Mardešić, P.; Marín, D.; Villadelprat, J. 22 2003 The period function of the generalized Lotka-Volterra centers. Zbl 1147.34034 Villadelprat, J. 19 2008 Algebraic and analytical tools for the study of the period function. Zbl 1305.34050 Garijo, A.; Villadelprat, J. 19 2014 On the wave length of smooth periodic traveling waves of the Camassa-Holm equation. Zbl 1317.35196 Geyer, A.; Villadelprat, J. 19 2015 Computer-assisted techniques for the verification of the Chebyshev property of abelian integrals. Zbl 1270.34082 Figueras, Jordi-Lluís; Tucker, Warwick; Villadelprat, Jordi 18 2013 The bifurcation set of the period function of the dehomogenized Loud’s centers is bounded. Zbl 1165.34017 Mañosas, F.; Villadelprat, J. 16 2008 Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four. Zbl 1014.34020 Jarque, X.; Villadelprat, J. 14 2002 Criteria to bound the number of critical periods. Zbl 1171.34022 Mañosas, F.; Villadelprat, J. 14 2009 A note on the critical periods of potential systems. Zbl 1149.34022 Mañosas, F.; Villadelprat, J. 13 2006 On the return time function around monodromic polycycles. Zbl 1110.34021 Marín, D.; Villadelprat, J. 13 2006 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033 Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 13 2003 Unfolding of resonant saddles and the Dulac time. Zbl 1153.37388 Mardešić, Pavao; Marín, David; Villadelprat, Jordi 13 2008 On the period of the limit cycles appearing in one-parameter bifurcations. Zbl 1081.34037 Gasull, Armengol; Mañosa, Víctor; Villadelprat, Jordi 12 2005 The criticality of centers of potential systems at the outer boundary. Zbl 1334.34076 Mañosas, F.; Rojas, D.; Villadelprat, J. 11 2016 A criticality result for polycycles in a family of quadratic reversible centers. Zbl 1406.34061 Rojas, D.; Villadelprat, J. 10 2018 The period function of generalized Loud’s centers. Zbl 1321.34053 Marín, D.; Villadelprat, J. 8 2013 Unfoldings of saddle-nodes and their Dulac time. Zbl 1353.34036 Mardešić, P.; Marín, D.; Saavedra, M.; Villadelprat, J. 8 2016 Area-preserving normalizations for centers of planar Hamiltonian systems. Zbl 1010.34030 Mañosas, F.; Villadelprat, J. 7 2002 Study of the period function of a two-parameter family of centers. Zbl 1372.34074 Mañosas, F.; Rojas, D.; Villadelprat, J. 7 2017 Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting. Zbl 1467.37030 Marín, D.; Villadelprat, J. 7 2021 The period function of Hamiltonian systems with separable variables. Zbl 1451.37085 Villadelprat, Jordi; Zhang, Xiang 7 2020 Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local setting. Zbl 1447.34041 Marín, D.; Villadelprat, J. 6 2020 Analytic tools to bound the criticality at the outer boundary of the period annulus. Zbl 1444.34055 Mañosas, F.; Rojas, D.; Villadelprat, J. 6 2018 Bifurcation of local critical periods in the generalized Loud’s system. Zbl 1262.34040 Villadelprat, J. 5 2012 A Poincaré-Hopf theorem for noncompact manifolds. Zbl 0894.55002 Cima, A.; Mañosas, F.; Villadelprat, J. 4 1998 The index of stable critical points. Zbl 1013.37016 Bonatti, Christian; Villadelprat, Jordi 4 2002 On the number of limit cycles in generalized Abel equations. Zbl 1472.34065 Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi 4 2020 On the Chebyshev property of certain abelian integrals near a polycycle. Zbl 1394.34058 Marín, D.; Villadelprat, J. 4 2018 On bounded vector fields. Zbl 0940.34020 Cima, Anna; Mañosas, Francesc; Villadelprat, Jordi 2 1999 A Poincaré index formula for surfaces with boundary. Zbl 1004.57024 Llibre, Jaume; Villadelprat, Jordi 2 1998 An effective algorithm to compute Mandelbrot sets in parameter planes. Zbl 1377.65166 Garijo, Antonio; Jarque, Xavier; Villadelprat, Jordi 1 2017 Bifurcations of zeros in translated families of functions and applications. Zbl 1495.34061 Mardešić, P.; Marín, D.; Villadelprat, J. 1 2022 Bifurcations of zeros in translated families of functions and applications. Zbl 1495.34061 Mardešić, P.; Marín, D.; Villadelprat, J. 1 2022 Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting. Zbl 1467.37030 Marín, D.; Villadelprat, J. 7 2021 The period function of Hamiltonian systems with separable variables. Zbl 1451.37085 Villadelprat, Jordi; Zhang, Xiang 7 2020 Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local setting. Zbl 1447.34041 Marín, D.; Villadelprat, J. 6 2020 On the number of limit cycles in generalized Abel equations. Zbl 1472.34065 Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi 4 2020 A criticality result for polycycles in a family of quadratic reversible centers. Zbl 1406.34061 Rojas, D.; Villadelprat, J. 10 2018 Analytic tools to bound the criticality at the outer boundary of the period annulus. Zbl 1444.34055 Mañosas, F.; Rojas, D.; Villadelprat, J. 6 2018 On the Chebyshev property of certain abelian integrals near a polycycle. Zbl 1394.34058 Marín, D.; Villadelprat, J. 4 2018 Study of the period function of a two-parameter family of centers. Zbl 1372.34074 Mañosas, F.; Rojas, D.; Villadelprat, J. 7 2017 An effective algorithm to compute Mandelbrot sets in parameter planes. Zbl 1377.65166 Garijo, Antonio; Jarque, Xavier; Villadelprat, Jordi 1 2017 The criticality of centers of potential systems at the outer boundary. Zbl 1334.34076 Mañosas, F.; Rojas, D.; Villadelprat, J. 11 2016 Unfoldings of saddle-nodes and their Dulac time. Zbl 1353.34036 Mardešić, P.; Marín, D.; Saavedra, M.; Villadelprat, J. 8 2016 On the wave length of smooth periodic traveling waves of the Camassa-Holm equation. Zbl 1317.35196 Geyer, A.; Villadelprat, J. 19 2015 Algebraic and analytical tools for the study of the period function. Zbl 1305.34050 Garijo, A.; Villadelprat, J. 19 2014 Computer-assisted techniques for the verification of the Chebyshev property of abelian integrals. Zbl 1270.34082 Figueras, Jordi-Lluís; Tucker, Warwick; Villadelprat, Jordi 18 2013 The period function of generalized Loud’s centers. Zbl 1321.34053 Marín, D.; Villadelprat, J. 8 2013 Bifurcation of local critical periods in the generalized Loud’s system. Zbl 1262.34040 Villadelprat, J. 5 2012 A Chebyshev criterion for Abelian integrals. Zbl 1217.34052 Grau, M.; Mañosas, F.; Villadelprat, J. 97 2011 Bounding the number of zeros of certain abelian integrals. Zbl 1237.34039 Mañosas, F.; Villadelprat, J. 55 2011 Bifurcation of critical periods from Pleshkan’s isochrones. Zbl 1196.34048 Grau, M.; Villadelprat, J. 23 2010 Criteria to bound the number of critical periods. Zbl 1171.34022 Mañosas, F.; Villadelprat, J. 14 2009 The period function of the generalized Lotka-Volterra centers. Zbl 1147.34034 Villadelprat, J. 19 2008 The bifurcation set of the period function of the dehomogenized Loud’s centers is bounded. Zbl 1165.34017 Mañosas, F.; Villadelprat, J. 16 2008 Unfolding of resonant saddles and the Dulac time. Zbl 1153.37388 Mardešić, Pavao; Marín, David; Villadelprat, Jordi 13 2008 On the reversible quadratic centers with monotonic period function. Zbl 1122.34024 Villadelprat, J. 22 2007 The period function of reversible quadratic centers. Zbl 1092.34020 Mardešić, P.; Marín, D.; Villadelprat, J. 39 2006 A note on the critical periods of potential systems. Zbl 1149.34022 Mañosas, F.; Villadelprat, J. 13 2006 On the return time function around monodromic polycycles. Zbl 1110.34021 Marín, D.; Villadelprat, J. 13 2006 On the period of the limit cycles appearing in one-parameter bifurcations. Zbl 1081.34037 Gasull, Armengol; Mañosa, Víctor; Villadelprat, Jordi 12 2005 On the time function of the Dulac map for families of meromorphic vector fields. Zbl 1034.34037 Mardešić, P.; Marín, D.; Villadelprat, J. 22 2003 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033 Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 13 2003 Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four. Zbl 1014.34020 Jarque, X.; Villadelprat, J. 14 2002 Area-preserving normalizations for centers of planar Hamiltonian systems. Zbl 1010.34030 Mañosas, F.; Villadelprat, J. 7 2002 The index of stable critical points. Zbl 1013.37016 Bonatti, Christian; Villadelprat, Jordi 4 2002 Isochronicity for several classes of Hamiltonian systems. Zbl 0941.34017 Cima, A.; Mañosas, F.; Villadelprat, J. 57 1999 On bounded vector fields. Zbl 0940.34020 Cima, Anna; Mañosas, Francesc; Villadelprat, Jordi 2 1999 A Poincaré-Hopf theorem for noncompact manifolds. Zbl 0894.55002 Cima, A.; Mañosas, F.; Villadelprat, J. 4 1998 A Poincaré index formula for surfaces with boundary. Zbl 1004.57024 Llibre, Jaume; Villadelprat, Jordi 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 273 Authors 27 Villadelprat, Jordi 18 Liu, Changjian 16 Sun, Xianbo 15 Han, Maoan 15 Zhao, Yulin 13 Gasull, Armengol 12 Mañosas, Francesc 10 Rojas, David 9 Marín Pérez, David 9 Romanovskiĭ, Valeriĭ Georgievich 9 Yu, Pei 9 Zhao, Liqin 8 Huang, Wentao 7 Asheghi, Rasoul 7 Cen, Xiuli 7 Kazemi, Rasool 7 Llibre, Jaume 7 Pelinovsky, Dmitry Efimovich 6 Bakhshalizadeh, Ali 6 Chen, Aiyong 6 Huzak, Renato 6 Liang, Haihua 6 Torregrosa, Joan 6 Wang, Jihua 6 Wei, Minzhi 6 Xiao, Dongmei 5 Chen, Xingwu 5 Feng, Zhaosheng 5 Geyer, Anna 5 Li, Chengzhi 5 Peng, Linping 5 Xiong, Yanqin 5 Zanolin, Fabio 5 Zhang, Xiang 4 Jarque, Xavier 4 Ortega, Rafael 4 Ruiz del Portal, Francisco Romero 4 Sabatini, Marco 4 Shao, Yi 4 Wu, Kuilin 4 Yang, Jihua 4 Zangeneh, Hamid R. Z. 3 Cai, Junning 3 De Maesschalck, Peter 3 Garijo, Antonio 3 Huang, Jianfeng 3 Huang, Jicai 3 Kairzhan, Adilbek 3 Li, Jibin 3 Lu, Lianghaolong 3 Mardešić, Pavao 3 Saavedra, Mariana 3 Sánchez-Sánchez, Iván 3 Sun, Yangjian 3 Wang, Jiaxin 3 Yang, Lijun 3 Yang, Sumin 3 Zhang, Weinian 3 Zhu, Hongying 2 Baek, Hunki 2 Buică, Adriana 2 Burra, Lakshmi 2 Chen, Guanrong 2 Cima, Anna 2 Du, Zengji 2 Giné, Jaume 2 Guillamon, Antoni 2 Guo, Lina 2 Huang, Bo 2 Kamimura, Yutaka 2 Li, Shimin 2 Long, Teng 2 Moghimi, Pegah 2 Niu, Wei 2 Oliveira, Regilene D. S. 2 Prohens, Rafel 2 Qin, Bin 2 Salazar, José Miguel 2 Tian, Yun 2 Wang, Na 2 Wang, Shaoqing 2 Wang, Zhaoxia 2 Yu, Jiang 2 Zampieri, Gaetano 2 Zhang, Chi 2 Zhou, Jinping 2 Zhu, Wenjing 1 A, Chunxiang 1 Akrami, Mohammad Hossein 1 Al-Dosary, Khalil I. T. 1 Alarcón, Begoña 1 Alonso-González, Clementa 1 Alvarez, María Jesus 1 Amel’kin, Vladimir Vasilievich 1 Arcet, Barbara 1 Atabaigi, Ali 1 Barkat, Meriem 1 Barreira, Luis Manuel 1 Beck, Margaret 1 Benterki, Rebiha ...and 173 more Authors all top 5 Cited in 70 Serials 68 Journal of Differential Equations 25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 Journal of Mathematical Analysis and Applications 22 Qualitative Theory of Dynamical Systems 10 Bulletin des Sciences Mathématiques 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Chaos, Solitons and Fractals 6 Nonlinear Analysis. Real World Applications 6 Discrete and Continuous Dynamical Systems. Series B 5 Applied Mathematics and Computation 5 Nonlinear Dynamics 5 Journal of Applied Analysis and Computation 4 Proceedings of the American Mathematical Society 4 Physica D 4 Journal of Dynamics and Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinearity 2 Topology and its Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 SIAM Journal on Mathematical Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Nonlinear Mathematical Physics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Complexity 1 Journal of Difference Equations and Applications 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Open Systems & Information Dynamics 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Gravitation & Cosmology 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Dynamical Systems 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Oberwolfach Reports 1 Proyecciones 1 Journal of Physics A: Mathematical and Theoretical 1 Nonlinear Analysis. Hybrid Systems 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 S\(\vec{\text{e}}\)MA Journal 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Computational Methods for Differential Equations all top 5 Cited in 34 Fields 236 Ordinary differential equations (34-XX) 114 Dynamical systems and ergodic theory (37-XX) 30 Partial differential equations (35-XX) 12 Mechanics of particles and systems (70-XX) 9 Biology and other natural sciences (92-XX) 7 Fluid mechanics (76-XX) 5 General topology (54-XX) 4 Algebraic geometry (14-XX) 4 Difference and functional equations (39-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year