Piecewise linear differential systems with only centers can create limit cycles?
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Teixeira, Marco Antonio (Universidade Estadual de Campinas. Departamento de Matemática)

Date:	2018
Abstract:	In this article, we study the continuous and discontinuous planar piecewise differential systems formed only by linear centers separated by one or two parallel straight lines. When these piecewise differential systems are continuous, they have no limit cycles. Also if they are discontinuous separated by a unique straight line, they do not have limit cycles. But when the piecewise differential systems are discontinuous separated two parallel straight lines, we show that they can have at most one limit cycle, and that there exist such systems with one limit cycle.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Linear centers ; Continuous piecewise linear differential systems ; Discontinuous piecewise differential systems ; First integrals
Published in:	Nonlinear dynamics, Vol. 91, issue 1 (Jan. 2018) , p. 249-255, ISSN 0924-090X

DOI: 10.1007/s11071-017-3866-6

Postprint 12 p, 296.1 KB

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