Bifurcations of limit cycles in a cubic system with cubic perturbations

被引:3
|
作者
Zang, Hong
Zhang, Tonghua [1 ]
Han, Maoan
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Curtin Univ Technol, Dept Chem Engn, Perth, WA 6845, Australia
[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
基金
澳大利亚研究理事会;
关键词
limit cycle; homoclinic loop; heteroclinic loop; Hamiltonian system;
D O I
10.1016/j.amc.2005.09.024
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with limit cycles on two different cubic systems with nine singular points. Eleven limit cycles are found and the distributions are studied by using the methods of bifurcation theory and qualitative analysis. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:341 / 358
页数:18
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