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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 176卷 / 01期

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

页码：341 / 358

页数：18

共 18 条

[1]

Bautin N., 1952, MAT SBORNIK, V72, P181

[2] On the number of limit cycles in double homoclinic bifurcations [J].