Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory
Benterki, Rebiha (Centre Universitaire de Bordj Bou Arréridj. Département de Mathématiques (Algeria))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2017
Abstract:	In this paper we classify the phase portraits in the Poincar\'e disc of the centers of the generalized class of Kukles systems \[ =-y,=x ax^3y bxy^3, \] symmetric with respect to the y-axis, and we study, using the averaging theory up to sixth order, the limit cycles which bifurcate from the periodic solutions of these centers when we perturb them inside the class of all polynomial differential systems of degree 4.
Grants:	Ministerio de Economía y Competitividad MTM 2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 European Commission 316338
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging method ; Center ; Generalized Kukles system ; Limit cycle ; Phase portrait
Published in:	Journal of computational and applied mathematics, Vol. 313 (2017) , p. 273-283, ISSN 0377-0427

DOI: 10.1016/j.cam.2016.08.047

Postprint 16 p, 437.4 KB

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