Edit Profile (opens in new tab) Reyes, Manuel Co-Author Distance Author ID: reyes.manuel Published as: Reyes, M.; Reyes, Manuel Documents Indexed: 35 Publications since 1994 Co-Authors: 6 Co-Authors with 30 Joint Publications 57 Co-Co-Authors all top 5 Co-Authors 0 single-authored 30 Algaba, Antonio 24 García, Cristóbal 3 Fuentes, Natalia 1 Alfaro, Jorge 1 Ben-Zvi, Michael 1 Checa, Isabel 1 Chirvăsitu, Alexandru 1 Cifuentes, Veronica 1 Fajardo, William 1 Giné, Jaume 1 Lezama, Oswaldo 1 Ma, Alexander 1 Mandujano, Francisco 1 Merino, Manuel 1 Morales-Técotl, Hugo Aurelio 1 Pulido, Angeles 1 Rogers, Claude Ambrose 1 Urrutia, Luis F. all top 5 Serials 5 Journal of Mathematical Analysis and Applications 3 Chaos, Solitons and Fractals 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Qualitative Theory of Dynamical Systems 1 Rocky Mountain Journal of Mathematics 1 Journal of Algebra 1 Journal of Differential Equations 1 Mathematika 1 Extracta Mathematicae 1 European Journal of Applied Mathematics 1 Journal of Physics A: Mathematical and General 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 European Journal of Mechanics. B. Fluids 1 Acta Mathematica Sinica. English Series 1 International Journal of Pure and Applied Mathematics 1 Mediterranean Journal of Mathematics all top 5 Fields 25 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 214 times in 113 Documents Cited by ▼ Year ▼ The center problem for a family of systems of differential equations having a nilpotent singular point. Zbl 1156.34031Algaba, A.; García, C.; Reyes, M. 25 2008 Integrability of two dimensional quasi-homogeneous polynomial differential systems. Zbl 1213.37093Algaba, A.; García, C.; Reyes, M. 24 2011 Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems. Zbl 1266.37023Algaba, A.; García, C.; Reyes, M. 22 2012 Computing center conditions for vector fields with constant angular speed. Zbl 1032.34026Algaba, A.; Reyes, M. 17 2003 Characterization of a monodromic singular point of a planar vector field. Zbl 1226.34031Algaba, A.; García, C.; Reyes, M. 13 2011 Characterizing isochronous points and computing isochronous sections. Zbl 1208.34034Algaba, A.; Reyes, M. 11 2009 Like-linearizations of vector fields. Zbl 1196.37080Algaba, A.; García, C.; Reyes, M. 11 2009 Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations. Zbl 1201.34061Algaba, A.; García, C.; Reyes, M. 10 2009 Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems. Zbl 1201.34050Algaba, A.; García, C.; Reyes, M. 10 2010 A class of non-integrable systems admitting an inverse integrating factor. Zbl 1333.37076Algaba, A.; Fuentes, N.; García, C.; Reyes, M. 9 2014 Invariant curves and analytic integrability of a planar vector field. Zbl 1412.34110Algaba, A.; García, C.; Reyes, M. 8 2019 Uniformly isochronous quintic planar vector fields. Zbl 0976.37026Algaba, A.; Reyes, M.; Bravo, A. 7 2000 Isochronous centres and foci via commutators and normal forms. Zbl 1155.34018Algaba, A.; Reyes, M. 6 2008 A new algorithm for determining the monodromy of a planar differential system. Zbl 1334.34188Algaba, A.; García, C.; Reyes, M. 6 2014 Analytical integrability problem for perturbations of cubic Kolmogorov systems. Zbl 1404.37021Algaba, Antonio; García, Cristóbal; Reyes, Manuel 6 2018 Centers with degenerate infinity and their commutators. Zbl 1037.34024Algaba, A.; Reyes, M. 6 2003 Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\). Zbl 1267.34002Algaba, Antonio; García, Cristóbal; Reyes, Manuel 6 2011 Geometry of the uniformly isochronous centers with polynomial commutator. Zbl 1231.34052Algaba, A.; Reyes, M.; Bravo, A. 4 2002 A note on analytic integrability of planar vector fields. Zbl 1268.34003Algaba, A.; García, C.; Reyes, M. 4 2012 Quasi-homogeneous linearization of degenerate vector fields. Zbl 1440.34039Algaba, A.; García, C.; Reyes, M. 3 2020 Analytical integrability of perturbations of quadratic systems. Zbl 1481.34003Algaba, Antonio; García, Cristóbal; Reyes, Manuel 3 2021 Vortex induced vibrations of a cylinder at low mass ratio. Zbl 07463902Reyes, M.; Mandujano, F. 2 2022 Degenerate global bifurcations in a simple circuit. Zbl 1187.37072Algaba, A.; Merino, M.; García, C.; Reyes, M. 1 2009 Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. Zbl 1322.34049Algaba, A.; García, C.; Reyes, M. 1 2015 On non-Abelian holonomies. Zbl 1043.83015Alfaro, J.; Morales-Técotl, H. A.; Reyes, M.; Urrutia, L. F. 1 2003 Dimension prints of fractal sets. Zbl 0799.28006Reyes, M.; Rogers, C. A. 1 1994 Analytically integrable centers of perturbations of cubic homogeneous systems. Zbl 1472.34055Algaba, Antonio; García, Cristóbal; Reyes, Manuel 1 2021 Vortex induced vibrations of a cylinder at low mass ratio. Zbl 07463902Reyes, M.; Mandujano, F. 2 2022 Analytical integrability of perturbations of quadratic systems. Zbl 1481.34003Algaba, Antonio; García, Cristóbal; Reyes, Manuel 3 2021 Analytically integrable centers of perturbations of cubic homogeneous systems. Zbl 1472.34055Algaba, Antonio; García, Cristóbal; Reyes, Manuel 1 2021 Quasi-homogeneous linearization of degenerate vector fields. Zbl 1440.34039Algaba, A.; García, C.; Reyes, M. 3 2020 Invariant curves and analytic integrability of a planar vector field. Zbl 1412.34110Algaba, A.; García, C.; Reyes, M. 8 2019 Analytical integrability problem for perturbations of cubic Kolmogorov systems. Zbl 1404.37021Algaba, Antonio; García, Cristóbal; Reyes, Manuel 6 2018 Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. Zbl 1322.34049Algaba, A.; García, C.; Reyes, M. 1 2015 A class of non-integrable systems admitting an inverse integrating factor. Zbl 1333.37076Algaba, A.; Fuentes, N.; García, C.; Reyes, M. 9 2014 A new algorithm for determining the monodromy of a planar differential system. Zbl 1334.34188Algaba, A.; García, C.; Reyes, M. 6 2014 Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems. Zbl 1266.37023Algaba, A.; García, C.; Reyes, M. 22 2012 A note on analytic integrability of planar vector fields. Zbl 1268.34003Algaba, A.; García, C.; Reyes, M. 4 2012 Integrability of two dimensional quasi-homogeneous polynomial differential systems. Zbl 1213.37093Algaba, A.; García, C.; Reyes, M. 24 2011 Characterization of a monodromic singular point of a planar vector field. Zbl 1226.34031Algaba, A.; García, C.; Reyes, M. 13 2011 Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\). Zbl 1267.34002Algaba, Antonio; García, Cristóbal; Reyes, Manuel 6 2011 Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems. Zbl 1201.34050Algaba, A.; García, C.; Reyes, M. 10 2010 Characterizing isochronous points and computing isochronous sections. Zbl 1208.34034Algaba, A.; Reyes, M. 11 2009 Like-linearizations of vector fields. Zbl 1196.37080Algaba, A.; García, C.; Reyes, M. 11 2009 Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations. Zbl 1201.34061Algaba, A.; García, C.; Reyes, M. 10 2009 Degenerate global bifurcations in a simple circuit. Zbl 1187.37072Algaba, A.; Merino, M.; García, C.; Reyes, M. 1 2009 The center problem for a family of systems of differential equations having a nilpotent singular point. Zbl 1156.34031Algaba, A.; García, C.; Reyes, M. 25 2008 Isochronous centres and foci via commutators and normal forms. Zbl 1155.34018Algaba, A.; Reyes, M. 6 2008 Computing center conditions for vector fields with constant angular speed. Zbl 1032.34026Algaba, A.; Reyes, M. 17 2003 Centers with degenerate infinity and their commutators. Zbl 1037.34024Algaba, A.; Reyes, M. 6 2003 On non-Abelian holonomies. Zbl 1043.83015Alfaro, J.; Morales-Técotl, H. A.; Reyes, M.; Urrutia, L. F. 1 2003 Geometry of the uniformly isochronous centers with polynomial commutator. Zbl 1231.34052Algaba, A.; Reyes, M.; Bravo, A. 4 2002 Uniformly isochronous quintic planar vector fields. Zbl 0976.37026Algaba, A.; Reyes, M.; Bravo, A. 7 2000 Dimension prints of fractal sets. Zbl 0799.28006Reyes, M.; Rogers, C. A. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 95 Authors 45 Algaba, Antonio 41 García, Cristóbal 24 Giné, Jaume 24 Reyes, Manuel 17 Llibre, Jaume 9 García, Isaac A. 7 Fuentes, Natalia 6 Li, Feng 5 Gamero, Estanislao 5 Liang, Haihua 5 Liu, Yirong 4 Itikawa, Jackson 4 Torregrosa, Joan 4 Yu, Pei 3 Checa, Isabel 3 Tian, Yuzhou 3 Zhou, Zhengxin 2 Chen, Haibo 2 Grau, Maite 2 Guo, Lina 2 Han, Maoan 2 Huang, Jianfeng 2 Oliveira, Regilene D. S. 2 Sánchez-Sánchez, Iván 2 Tang, Yilei 2 Valls Anglés, Cláudia 2 Wu, Yusen 2 Yan, Yuexin 2 Zhang, Qi 2 Zhang, Xiang 1 Abdullah Qadha, Sarah 1 Alwash, Mohamad Ali M. 1 Amel’kin, Vladimir Vasilievich 1 Arriagada-Silva, Waldo 1 Arriagada, Waldo G. 1 Aziz, Waleed 1 Bastos, Jéfferson L. R. 1 Buică, Adriana 1 Buzzi, Claudio Aguinaldo 1 Carmona, Victoriano 1 Chen, Ting 1 de Carvalho, Tiago 1 Díaz, Maria Elena 1 Djedid, Djamila 1 Domínguez-Moreno, María C. 1 Du, Chaoxiong 1 Ferčec, Brigita 1 Fernández-García, Soledad 1 Freire Macías, Emilio 1 García, Belén 1 Gasull, Armengol 1 Giacomini, Hector J. 1 Gonçalves, Luiz Fernando 1 Gu, Tianlong 1 He, Zecen 1 Huang, Wentao 1 Huang, Yikun 1 Li, Jing 1 Li, Shimin 1 Li, Weigu 1 Li, Xinli 1 Liu, Changjian 1 Liu, Tao 1 Liu, Yuanyuan 1 Lombardero, Antón 1 Lu, Zhengyi 1 Mahdi, Adam 1 Makhlouf, Amar 1 Mereu, Ana Cristina 1 Merino, Manuel 1 Pantazi, Chara 1 Pérez del Río, Jesús S. 1 Pessoa, Claudio 1 Qadha, Muneera Abdullah 1 Qiu, Bao Hua 1 Rabanal, Roland 1 Ramírez, Rafael O. 1 Ramírez, Valentín 1 Ren, Qingjun 1 Ribeiro, Jarne D. 1 Rodríguez-Luis, Alejandro J. 1 Romanovskiĭ, Valeriĭ Georgievich 1 Shafer, Douglas S. 1 Shang, Desheng 1 Stróżyna, Ewa 1 Wang, Jing 1 Wang, Long 1 Wang, Qinlong 1 Wang, Yong 1 Wu, Hao 1 Xiong, Yanqin 1 Xu, Jinya 1 Yang, Junmin 1 Zhao, Yulin 1 Żołądek, Henryk all top 5 Cited in 39 Serials 12 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 8 Qualitative Theory of Dynamical Systems 7 Applied Mathematics and Computation 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Nonlinear Analysis. Real World Applications 4 Chaos, Solitons and Fractals 4 Journal of Computational and Applied Mathematics 4 Discrete and Continuous Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 3 Mediterranean Journal of Mathematics 3 Journal of Applied Analysis and Computation 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin des Sciences Mathématiques 2 Abstract and Applied Analysis 2 Journal of Dynamical and Control Systems 2 Advances in Difference Equations 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Proceedings of the American Mathematical Society 1 Journal of Symbolic Computation 1 Electronic Journal of Differential Equations (EJDE) 1 Nonlinear Dynamics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Advances in Nonlinear Analysis 1 Journal of Mathematics 1 European Journal of Mathematics all top 5 Cited in 8 Fields 107 Ordinary differential equations (34-XX) 28 Dynamical systems and ergodic theory (37-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Citations by Year