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

Date:	2023
Abstract:	In this paper we study the distribution and the number of limit cycles of the class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. More precisely we study the existence of simultaneous limit cycles with two and four intersection points with the cubic of separation. In previous papers [3, 4] we already have studied this problem for the limit cycles having only either two, or four intersection points with the cubic of separation.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
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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, Vol. 30, Num. 1b (2023) , p. 35-77, ISSN 1918-2538

Postprint 36 p, 1.4 MB

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