Relations between distributional, Li-Yorke and ω chaos

被引：18
作者：
Guirao, JLG
Lampart, M
机构：
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena 30203, Murcia, Spain
[2] Silesian Univ Opava, Inst Math, Opava 74601, Czech Republic
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2005.08.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The forcing relations between notions of distributional, Li-Yorke and omega chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the results for general compact metric spaces by the construction of a selfmap on a compact perfect set which is omega chaotic, not distributionally chaotic and has zero topological entropy. (c) 2005 Elsevier Ltd. All rights reserved.
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收藏
页码：788 / 792
页数：5
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