Limit cycles for a class of fourth-order autonomous differential equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)

Date:	2012
Abstract:	We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation . . . . x − (λ + µ). . . x + (1 + λµ)¨x − (λ + µ) ˙x + λµx = εF(x, x,˙ x, ¨. . . x), where λ, µ and ε are real parameters, ε is small and F is a nonlinear function.
Grants:	Ministerio de Educación y Ciencia MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic orbit ; Fourth-order differential equation ; Averaging theory
Published in:	Electronic journal of differential equations, Vol. 2012 Núm. 22 (2012) , p. 1-17, ISSN 1072-6691

Postprint 19 p, 735.7 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
Articles > Published articles