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

页码：1357 / 1367

页数：11

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