Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve
Jimenez, Jeidy J. (Universidade Federal do Oeste da Bahia (Brasil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Medrado, Joao Carlos (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brasil))

Date:	2020
Abstract:	As for the general planar differential systems one of the main problems for the piecewise linear differential systems is to determine the existence and the maximum number of crossing limits cycles that these systems can exhibit. But in general to provide a sharp upper bound on the number of crossing limit cycles is a very difficult problem. In this work we study the existence of crossing limit cycles and their distribution for piecewise linear differential systems formed by linear differential centers and separated by a reducible cubic curve, formed either by a circle and a straight line, or by a parabola and a straight line.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Ministerio de Ciencia e Innovación MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Discontinuous piecewise linear differential centers ; Limit cycles ; Conics
Published in:	Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2020, Issue 19 (2020) , p. 1-48, ISSN 1417-3875

DOI: 10.14232/ejqtde.2020.1.19

Postprint 46 p, 2.6 MB

48 p, 2.9 MB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles