On the limit cycles of a class of piecewise linear differential systems in R^4 with two zones
Buzzi, Claudio (Universidade Federal de Goias. Instituto de Matematica e Estatística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Medrado, Joao Carlos (Universidade Federal de Goias. Instituto de Matematica e Estatística)

Date:	2011
Abstract:	We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 07/06896-5. The first and the third authors are partially supported by CNPq and CAPES. All authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC and AUXPE-DGU 15/2010.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Averaging theory ; Piecewise linear systems with two zones
Published in:	Mathematics and computers in simulation, Vol. 82 (2011) , p. 533-539, ISSN 0378-4754

DOI: 10.1016/j.matcom.2011.08.006

Postprint 7 p, 269.1 KB

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