On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Ordóñez, Manuel (Universidad de Sevilla. Escuela Técnica Superior de Ingeniería)
Ponce, Enrique (Universidad de Sevilla. Escuela Técnica Superior de Ingeniería)

Date:	2013
Abstract:	Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems. New results are obtained for systems with three linearity zones without symmetry and having one equilibrium point in the central region. We also revisit the case of systems with only two linear zones giving shorter proofs of known results.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 Ministerio de Ciencia e Innovación ECO2010-17766 Ministerio de Ciencia e Innovación MTM2009-07849
Note:	Agraïments: E. Ponce is partially supported by MICINN/FEDER grant number MTM2009-07849 and Junta de Andalucía grant number P08-FQM-03770
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Nonlinear Analysis: Real World Applications, Vol. 14 Núm. 5 (2013) , p. 2002-2012, ISSN 1468-1218

Adreça alternativa: https://hdl.handle.net/11441/49910
DOI: 10.1016/j.nonrwa.2013.02.004

Postprint 17 p, 370.8 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