Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
De Moraes, Jaime Rezende (IBILCE-UNESP(Brazil). Departamento de Matemática)

Date:	2016
Abstract:	We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 European Commission 316338
Note:	Agraïments: FEDER-UNAB-10-4E-378, and a CAPES grant number 88881. 030454/2013-01 from the program CSF-PVE and CNPq grant "Projeto Universal 472796/2013-5". The second author is supported by CAPES/GDU-7500/13-0.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Limit cycle ; Polinomial vector field ; Weight-homogeneous differential system
Published in:	Applied Mathematics and Computation, Vol. 274 (2016) , p. 47-54, ISSN 0096-3003

DOI: 10.1016/j.amc.2015.10.079

Postprint 12 p, 584.1 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