Limit cycles of a class of generalized Liénard polynomial equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba (Algeria). Department of Mathematics)

Date:	2015
Abstract:	We prove that the generalized Liénard polynomial differential system x'=y^2p-1, y'=-x^2q-1 - f(x) y^2n-1, where p, q, and n are positive integers; is a small parameter; and f(x) is a polynomial of degree m which can have [m/2] limit cycles, where [x] is the integer part function of x.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Liénard system ; Limit cycles ; Polynomial differential systems
Published in:	Journal of Dynamical and Control Systems, Vol. 21 (2015) , p. 189-192, ISSN 1573-8698

DOI: 10.1007/s10883-014-9253-4

Postprint 6 p, 729.4 KB

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