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

Date:	2021
Abstract:	In the qualitative theory of the planar discontinuous piecewise linear differential systems one of the main problems is the study of the number of crossing limit cycles that these systems can have. We study the number of crossing limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. We prove that these differential systems only can exhibit 0, 1, 2 or 3 crossing limit cycles having two intersection points with the cubic of separation.
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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:	Dynamics of Continuous, Discrete and Impulsive Systems. Series A. Mathematical Analysis, Vol. 28, Núm. 3a (2021) , p. 153-192, ISSN 1201-3390

Postprint 35 p, 1.2 MB

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