The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems

被引：4
|
作者：
Zang, H [1 ]
Zhan, TH
Han, MA
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Curtin Univ Technol, Dept Chem Engn, Perth, WA, Australia
[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 02期
关键词：
homoclinic bifurcation; distribution of limit cycle; Hamiltonian system; Hilbert's 16th problem;
D O I：
10.1016/j.jmaa.2005.04.085
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns with the number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist 9-11 limit cycles is proved. The different distributions of limit cycles are given by using methods of bifurcation theory and qualitative analysis, among which two distributions of eleven limit cycles are new. (c) 2005 Elsevier Inc. All fights reserved.
引用
收藏
页码：679 / 696
页数：18
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