A-coupled-expanding and distributional chaos

被引：4

作者：

Kim, Cholsan ^{[1
,2
]}

Ju, Hyonhui ^{[2
]}

Chen, Minghao ^{[1
]}

Raith, Peter ^{[3
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea

[3] Univ Vienna, Fak Math, A-1090 Vienna, Austria

来源：

CHAOS SOLITONS & FRACTALS | 2015年 / 77卷

基金：

中国国家自然科学基金;

关键词：

Chaos; Coupled-expanding map; Distributional chaos; MAPS;

D O I：

10.1016/j.chaos.2015.06.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of A-coupled-expanding maps is one of the more natural and useful ideas generalized from the horseshoe map which is commonly known as a criterion of chaos. It is well known that distributional chaos is one of the concepts which reflect strong chaotic behavior. In this paper, we focus on the relationship between A-coupled-expanding and distributional chaos. We prove two theorems which give sufficient conditions for a strictly A-coupled-expanding map to be distributionally chaotic in the senses of two kinds, where A is an m x m irreducible transition matrix. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：291 / 295

页数：5

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