Chaos for Subshifts of Finite Type

被引：0

作者：

Huo Yun WANG Department of Mathematics

机构：

来源：

ActaMathematicaSinica(EnglishSeries) | 2005年 / 21卷 / 06期

关键词：

Subshift; Chaos; Hausdorff dimension; Symbolic space;

D O I：

暂无

中图分类号：

O151.21 [矩阵论];

学科分类号：

070104 ;

摘要：

This paper deals with chaos for subshifts of finite type.We show that for any subshift oftinite type determined by an irreducible and aperiodic matrix,there is a fiuitely chaotic set with fullHausdorff dimension.Moreover,for any subshift of finite type determined by a matrix,we point outthat the cases including positive topological entropy,distributional chaos,chaos and Devaney chaosare mutually equivalent.

引用

页码：1407 / 1414

页数：8

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