Bifurcation of limit cycles from a two-dimensional center inside Rn
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))

Additional title:	Bifurcation of limit cycles from a 2-dimensional center inside Rn
Date:	2010
Abstract:	We study the bifurcation of limit cycles from the periodic orbits of a linear differential system in Rn perturbed inside a class of piecewise linear differential systems, which appears in a natural way in control theory. Our main result shows that at most one limit cycle can bifurcate up to first order expansion of the displacement function with respect to the small parameter. This upper bound is reached. For proving this result we use the averaging theory in a form where the differentiability of the system is not needed.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Bifurcation ; Control systems ; Averaging method
Published in:	Nonlinear Analysis : Theory, Methods and Applications, Vol. 72, Issue 3-4 (February 2010) , p. 1387-1392, ISSN 0362-546X

DOI: 10.1016/j.na.2009.08.022

Postprint 9 p, 569.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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