A new proof for existence of horseshoe in the Rossler system

被引:24
作者
Yang, XS [1 ]
Yu, YG
Zhang, SC
机构
[1] Chongqing Univ Posts & Telecom, Inst Nonlinear Syst, Chongqing 400065, Peoples R China
[2] Xiamen Univ, Dept Automat, Fujian 361005, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
关键词
D O I
10.1016/S0960-0779(02)00641-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A new simple computer-assisted proof based on a newly established topological horseshoe theorem is given for the existence of horseshoe in the well known Rossler system. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:223 / 227
页数:5
相关论文
共 7 条
[1]  
[Anonymous], 1979, ANN NY ACAD SCI
[2]   Topological horseshoes [J].
Kennedy, J ;
Yorke, JA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (06) :2513-2530
[3]   CHAOS IN THE LORENZ EQUATIONS - A COMPUTER-ASSISTED PROOF [J].
MISCHAIKOW, K ;
MROZEK, M .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 32 (01) :66-72
[4]  
Mischaikow K., 1995, JAPAN J IND APPL MAT, V12, P205
[5]  
MROZEK M, 1990, T AM MATH SOC, V318, P147
[6]  
Wiggins S, 1990, INTRO APPL NONLINEAR, P194
[7]   Computer assisted proof of chaos in the Rossler equations and in the Henon map [J].
Zgliczynski, P .
NONLINEARITY, 1997, 10 (01) :243-252