On homoclinic and heteroclinic orbits of Chen's system

被引：50
作者：
Li, Tiecheng [1 ]
Chen, Guoting
Chen, Guanrong
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Univ Lille 1, UMR 8524, Lab Paul Painleve, UFR Math, F-59655 Villeneuve Dascq, France
[3] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Chen's system; homoclinic orbit; heteroclinic orbit;
D O I：
10.1142/S021812740601663X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the problem of existence of homoclinic and heteroclinic orbits of Chen's system. For the case of 2c > a > c > 0 and b >= 2a, we prove that the system has no homoclinic orbit but has two and only two heteroclinic orbits.
引用
收藏
页码：3035 / 3041
页数：7
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