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
收藏
页码：1087 / 1091
页数：5
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