The existence of homoclinic orbits to saddle-focus

被引：21

作者：

Shang, DS ^{[1
]}

Han, MA

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Shandong Univ Technol, Sch Math & Informat Sci, Shandong 255012, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 163卷 / 02期

基金：

中国国家自然科学基金;

关键词：

horseshoe chaos; saddle-focus; manifold; homoclinic loop;

D O I：

10.1016/j.amc.2004.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an error of Zhou [Chaos Soliton. Fract. 19 (2004) 985] is pointed out through an example. And the improvement for the method of criterion to the existence of homoclinic to saddle-focus is given. Using this method, we can solve this example correctly, and easily get nonexistence of horseshoe chaos in meaning of Sil'nikov. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：621 / 631

页数：11

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