The center and cyclicity problems for quartic linear-like reversible systems
Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Romanovski, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics (Slovenia))
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2020
Abstract:	In this paper we study a family of quartic linear-like reversible polynomial systems having a nondegenerate center at the origin. This family has degree one with respect to one of the variables. We are interested in systems in this class having two extra nondegenerate centers outside the straight line of symmetry. The geometrical configuration of these centers is aligned or triangular. We solve the center problem in both situations and, in the second case, we study the limit cycles obtained from a simultaneous degenerate Hopf bifurcation in the quartic polynomials class.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Ministerio de Ciencia e Innovación MTM2016-77278-P
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Center-focus problem ; Linear-like reversible centers ; Quartic centers ; Center cyclicity
Published in:	Nonlinear Analysis : Theory, Methods and Applications, Vol. 190 (January 2020) , art. 111593, ISSN 0362-546X

DOI: 10.1016/j.na.2019.111593

Postprint 20 p, 619.5 KB

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