Centers of quasi-homogeneous polynomial differential equations of degree three
Aziz, Waleed (Salahaddin University-Hawler(Iraq). Department of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)

Date:	2014
Abstract:	We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 Ministerio de Economía y Competitividad MTM2009-06973 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-859
Note:	Agraïments: W. Aziz is financially supported by Ministry of Higher Education and Scientific Research-Iraq.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Quasi-homogeneous polynomial systems ; Centers ; Limit cycles
Published in:	Advances in mathematics, Vol. 254 (2014) , p. 233-250, ISSN 1090-2082

DOI: 10.1016/j.aim.2013.12.006

Postprint 15 p, 436.8 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles