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Villadelprat, Jordi

Author ID: villadelprat.jordi Recent zbMATH articles by "Villadelprat, Jordi"
Published as: Villadelprat, J.; Villadelprat, Jordi
Homepage: http://www.gsd.uab.es/index.php?option=com_jresearch&view=member&task=show&forme...
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Publications by Year

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 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

Citations by Year