Some remarks on chaos in topological dynamics

被引：0
|
作者：
Wang, Huoyung [1 ]
Fu, Heman [2 ]
机构：
[1] Guangzhou Univ, Dept Math, Guangzhou 510006, Guangdong, Peoples R China
[2] Zhaoqing Univ, Coll Math & Informat Sci, Zhaoqing 526061, Peoples R China
来源：
APPLIED GENERAL TOPOLOGY | 2011年 / 12卷 / 02期
关键词：
sensitivity; chaos; tree maps;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bau-Sen Du introduced a notion of chaos which is stronger than Li Yorke sensitivity. A TDS (X, f) is called chaotic if there is a positive E such that for any a 4/1() any nonernpty open set V of X there is a point p in V such that the pair (a, y) is proximal but not a -asymptotic. In this article, we show that a IDS (I, f) is transitive but not mixing if and only if (I, f) is Li -Yorke sensitive but not chaotic, where I is a. tree. Moreover, we compare such chaos with other notions of chaos.
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页码：95 / 100
页数：6
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