Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
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:	2015
Abstract:	We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.
Grants:	Ministerio de Economía y Competitividad MTM2009-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments/Ajudes: FEDER-UNAB10-4E-378. 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 ; Homogeneous cubic centers ; Isochronous center ; Limit cycles ; Periodic orbit ; Polinomial vector field
Published in:	Electronic journal of differential equations, Vol. 2015 Núm. 271 (2015) , p. 1-8, ISSN 1072-6691

Postprint 9 p, 622.6 KB

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