On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
D. Euzébio, Rodrigo (Ibilce - UNESP (Brasil). Departamento de Matemática)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2015
Abstract:	In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: The first author is supported by the FAPESP-BRAZIL grants 2010/18015-6 and 2012/05635-1. FEDER-UNAB10-4E-378.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Nonsmooth differential system ; Piecewise linear differential system
Published in:	Journal of mathematical analysis and applications, Vol. 424 (2015) , p. 475-486, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2014.10.077

Postprint 17 p, 673.1 KB

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