文章基本信息

标题：On Local Aspects of Topological Transitivity and Weak Mixing in Set-Valued Discrete Systems
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作者：Lei Liu
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2013
卷号：2013
DOI：10.1155/2013/281395
出版社：Hindawi Publishing Corporation
摘要：Blanchard and Huang introduced the notion of weakly mixing subset, and Oprocha and Zhang gave the concept of transitive subset and studied its basic properties. In this paper our main goal is to discuss the weakly mixing subsets and transitive subsets in set-valued discrete systems. We prove that a set-valued discrete system has a transitive subset if and only if original system has a weakly mixing subset. Moreover, we give an example showing that original system has a transitive subset, which does not imply set-valued discrete system has a transitive subset.