On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
Colak, Ilker (Drexel University (Texas). Department of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)

Date:	2017
Abstract:	We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad MTM2016-77278-P
Note:	Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Center ; Hamiltonian system ; Limit cycle ; Melnikov function ; Ordinary differential system ; Planar system ; Polynomial system
Published in:	Mediterranean Journal of Mathematics, 2017 , ISSN 1660-5454

DOI: 10.1007/s00009-017-0857-2

Postprint 10 p, 567.6 KB

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