Chaos for subshifts of finite type

被引：9
|
作者：
Wang, HY [1 ]
Xiong, JC
机构：
[1] Guangzhou Univ, Dept Math, Guangzhou 510405, Peoples R China
[2] S China Normal Univ, Dept Math, Guangzhou 510631, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 06期
基金：
中国国家自然科学基金;
关键词：
subshift; chaos; Hausdorff dimension; symbolic space;
D O I：
10.1007/s10114-005-0540-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with chaos for subshifts of finite type. We show that for any subshift of finite type determined by an irreducible and aperiodic matrix, there is a finitely chaotic set with full Hausdorff dimension. Moreover, for any subshift of finite type determined by a matrix, we point out that the cases including positive topological entropy, distributional chaos, chaos and Devaney chaos are mutually equivalent.
引用
收藏
页码：1407 / 1414
页数：8
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