Stability and chaos in 2-D discrete systems

被引：36
|
作者：
Chen, GR [1 ]
Tian, CJ
Shi, YM
机构：
[1] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[2] Shenzhen Univ, Coll Informat Engn, Shenzhen 518060, Peoples R China
[3] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 25卷 / 03期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2004.11.058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with 2-D discrete systems of the form x(m+1,n) f(x(m,n), x(m,n+1)), where f: R-2 -> R is a function, m, n E N-0 = {0, 1, 2,...}. Some sufficient conditions for this system to be stable and a verification of this system to be chaotic in the sense of Devaney, respectively, are derived. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：637 / 647
页数：11
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