Substitution systems and the three versions of distributional chaos
Substitution systems and the three versions of distributional chaos
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DOI：
10.1016/j.topol.2008.07.021
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发表时间：
2008-12
影响因子：
0.6
通讯作者：
Hui Wang;Gongfu Liao;Qinjie Fan
中科院分区：
文献类型：
--
作者：
Hui Wang;Gongfu Liao;Qinjie Fan
有三种类型的分布混沌，即DC1，DC2和DC3。本文提出了两个等长替换系统，一个是DC2而不是DC1，另一个是DC3而不是DC2。(In在本文中，混沌意味着存在相应类型的不可数的混乱集合，而现有的例子只处理单对点。
There are three types of distributional chaos, namely DC1, DC2 and DC3. In this paper we present two constant-length substitution systems, one is DC2 but not DC1, and the other is DC3 but not DC2. (In this paper, chaos means existence of an uncountable scrambled set of the corresponding type while the existing examples deal with single pairs of points only.)