EXACT HETEROCLINIC CYCLE FAMILY AND QUASI-PERIODIC SOLUTIONS FOR THE THREE-DIMENSIONAL SYSTEMS DETERMINED BY CHAZY CLASS IX

被引：3
|
作者：
Li, Jibin [1 ]
Zhao, Xiaohua [2 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Heteroclinic orbit family; quasi-periodic solution; periodic solution; Chazy class IX; level set;
D O I：
10.1142/S0218127411029227
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For differential equation in the Chazy class IX, their corresponding three-dimensional system is studied in this paper by using dynamical system methods and Cosgrove's results. In a level set, the exact explicit parametric representations of a heteroclinic cycle family and uncountably infinitely many periodic solutions as well as quasi-periodic solutions, are all obtained.
引用
收藏
页码：1357 / 1367
页数：11
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