Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Ponce, Enrique (Escuela Técnica Superior de Ingeniería (Sevilla). Departamento de Matemática Aplicada)
Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática)

Additional title:	Limit cycles of piecewise linear differential systems with three zones and symmet
Date:	2015
Abstract:	Some techniques for proving the existence and uniqueness of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems with two and three zones and no symmetry. For planar systems with three linearity zones, the existence of two limit cycles surrounding the only equilibrium point at the origin is rigorously shown for the first time. The usefulness of the achieved analytical results is illustrated by considering non-symmetric memristor-based electronic oscillators.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2012-31821 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999
Note:	El títol de la versió pre-print de l'article és: Limit cycles of piecewise linear differential systems with three zones and symmet
Note:	Agraïments: The first author is partially supported by a FEDER-UNAB10-4E-378
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Liénard piecewise linear differential systems ; Limit cycles ; Nonlinear control systems ; Periodic orbit
Published in:	Journal of Nonlinear Science, Vol. 25 Núm. 4 (2015) , p. 861-887, ISSN 1432-1467

DOI: 10.1007/s00332-015-9244-y

Postprint 24 p, 428.2 KB

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