Horseshoe in a two-scroll control system

被引：14

作者：

Yang, XS ^{[1
]}

Tang, Y

Li, QD

机构：

[1] Chongqing Univ Posts & Telecommun, Inst Nonlinear Syst, Chonagqing 400065, Peoples R China

[2] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 21卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2003.12.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a two-scrolls control system and give a rigorous verification for existence of chaos in this system. We show that the dynamics of the Poincare map derived from the ordinary differential equations of this two-scrolls control system is semiconjugate to the dynamics of 4-shift map. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1087 / 1091

页数：5