Crossing limit cycles for a class of piecewise linear differential centers separated by a conic
Jimenez Ruiz, Jeidy Johana (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:	These last years the study of the version of Hilbert's 16th problem for piecewise linear differential systems in the plane, has increased strongly and there are many papers studying the maximum number of crossing limit cycles when the differential system is defined in two zones separated by a straight line, in particular in [11, 13] it was proved that piecewise linear differential centers separated by a straight line have no crossing limit cycles, but in the papers [14, 15] it was shown that the maximum number of crossing limit cycles of piecewise linear differential centers, can change depending of the shape of the discontinuity curve. In this work we study the maximum number of crossing limit cycles of piecewise linear differential centers separated by a conic.
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:	Conics ; Discontinuous piecewise linear differential centers ; Limit cycles
Published in:	Electronic journal of differential equations, Vol. 2020, Issue 41 (2020) , p. 1-36, ISSN 1072-6691

Adreça alternativa: https://ejde.math.txstate.edu/Volumes/2020/41/jimenez.pdf

Postprint 34 p, 1.2 MB

36 p, 766.5 KB

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