Two limit cycles in Liénard piecewise linear differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Ponce, Enrique (Universidad de Sevilla. Departamento de Matemática Aplicada)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)

Date:	2019
Abstract:	Some techniques for studying the existence of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems. Rigorous new results are provided on the existence of two limit cycles surrounding the equilibrium point at the origin for systems with three zones separated by two parallel straight lines without symmetry. As a relevant application, it is shown the existence of bistable regimes in an asymmetric memristor-based electronic oscillator.
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 Ministerio de Economía y Competitividad MTM2015-65608-P
Note:	Altres ajuts: ICREA Academia and FEDER-UNAB10-4E-378
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Nonlinear control systems ; Periodic orbits ; Limit cycles ; Liénard piecewise linear differential systems
Published in:	Journal of Nonlinear Science, Vol. 29, Issue 4 (August 2019) , p. 1499-1522, ISSN 1432-1467

DOI: 10.1007/s00332-018-9523-5

Postprint 30 p, 841.9 KB

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