On the limit cycles of a class of discontinuous piecewise linear differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
de Menezes, Lucyjane de A. S. (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))

Date:	2020
Abstract:	In this paper we consider discontinuous piecewise linear differential systems whose discontinuity set is a straight line L which does not pass through the origin. These systems are formed by two linear differential systems of the form ̇x= Ax ± b. We study the limit cycles of this class of discontinuous piecewise linear differential systems. We do this study by analyzing the fixed points of the return map of the system defined on the straight line L. This kind of differential systems appear in control theory.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MDM-2014-0445 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:	Discontinuous systems ; Poincaré map ; Return map ; Limit cycles
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 25, Issue 5 (May 2020) , p. 1835-1858, ISSN 1553-524X

DOI: 10.3934/dcdsb.2020005

Postprint 32 p, 2.2 MB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles