On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers

被引：0
作者：
Ilker E. Colak
Jaume Llibre
Claudia Valls
机构：
[1] Drexel University,Department of Mathematics
[2] Universitat Autònoma de Barcelona,Departament de Matemàtiques
[3] Instituto Superior Técnico,Departamento de Matemática
[4] Universidade de Lisboa,undefined
来源：
Mediterranean Journal of Mathematics | 2017年 / 14卷
关键词：
Ordinary differential system; polynomial system; planar system; Hamiltonian system; center; limit cycle; Melnikov function; Primary 34C05; Secondary 37C10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the number of limit cycles bifurcating from the period 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.
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