On the limit cycles of polynomial vector field
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Swirszcz, Grzegorz (IBM T.J. Watson Research Center)

Date:	2011
Abstract:	In this paper we study the limit cycles which can bifurcate from the periodic orbits of the center located at the origin of the quadratic polynomial differential system x˙ = −y(1+x), y˙ = x(1+x), and of the cubic polynomial differential system x˙ = −y(1−x2 −y 2 ), y˙ = x(1 − x2 − y 2 ), when we perturb them in the class of all polynomial vector fields with quadratic and cubic homogenous nonlinearities, respectively. For doing this study we use the averaging theory.
Grants:	Ministerio de Educación y Ciencia MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005-SGR-550
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycle ; Periodic orbit ; Center ; Reversible center ; Averaging method
Published in:	Dynamics of Continuous, Discrete and Impulsive Systems. Series A. Mathematical Analysis, Vol. 18, Num. 2 (2011) , p. 203-214, ISSN 1201-3390

Postprint 12 p, 310.2 KB

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