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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.
Note: Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.
Note: Número d'acord de subvenció AGAUR/2014/SGR-568
Note: Número d'acord de subvenció MINECO/MTM2013-40998-P
Note: Número d'acord de subvenció MINECO/MTM2016-77278-P
Rights: Tots els drets reservats.
Language: Anglès
Document: article ; recerca ; acceptedVersion
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

10 p, 567.6 KB

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

 Record created 2017-11-28, last modified 2020-11-01

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