Shil'nikov heteroclinic orbits in a chaotic system

被引：10

作者：

Sun, Feng-Yun ^{[1
]}

机构：

[1] Zhongshan Univ, Sch Math & Computat Sci, Guangzhou 510275, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2007年 / 21卷 / 25期

关键词：

heteroclinic orbit; Liu system; Shil'nikov theorem;

D O I：

10.1142/S0217979207037788

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, a chaotic system which exhibits a chaotic attractor with only three equilibria for some parameters is considered. The existence of heteroclinic orbits of the Shil'nikov type in a chaotic system has been proved using the undetermined coefficient method. As a result, the Shil'nikov criterion guarantees that the system has Smale horseshoes. Moreover, the geometric structures of the attractor are determined by these heteroclinic orbits.

引用

页码：4429 / 4436

页数：8

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