Thirteen limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

被引：0

作者：

Zhou, Hongxian ^{[1
]}

Xu, Wei ^{[1
]}

机构：

[1] NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Limit cycle; Bifurcation; Abelian integrals; Detection functions; Hamiltonian system;

D O I：

10.1016/j.amc.2008.02.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The number and distribution of limit cycles of a cubic Hamiltonian system under higher-order perturbed terms is investigated. By using the bifurcation theory and the method of detection function, we obtain that there exist at least 13 limit cycles with the distribution C(7)(1) subset of 2[C(3)(2) subset of 2C(1)(2)] in the Hamiltonian system under the perturbed term of degree 5. Additionally, various distributions of limit cycles are given by numerical exploration. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：905 / 913

页数：9

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