The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II
Benterki, Rebiha (Université Mohamed El Bachir El Ibrahimi. Département de Mathématiques (Algeria))
Damene, Loubna (Université Mohamed El Bachir El Ibrahimi. Département de Mathématiques (Algeria))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2024
Abstract:	In this paper we provide a lower bound for the maximum number of crossing limit cycles of some class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. First we prove that the systems constituted by three zones can exhibit 0, 1, 2, 3 or 4 crossing limit cycles having four intersection points with the cubic of separation. Second we prove that the systems constituted by two zones can exhibit 0, 1, or 2 crossing limit cycles having four intersection points with the cubic of separation.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Discontinuous piecewise linear differential systems ; Linear differential centers ; Irreducible cubic curves
Published in:	Differential Equations and Dynamical Systems, Vol. 32 (January 2024) , p. 115-149, ISSN 0974-6870

DOI: 10.1007/s12591-021-00564-w

Postprint 25 p, 1.2 MB

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