Chaos for Subshifts of Finite Type  

作　　者：Huo Yun WANGD Jin Cheng XIONG 

机构地区：[1]epartment of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China [2]Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第6期1407-1414,共8页数学学报（英文版）

基　　金：National Natural Science Funds of China (10171034)

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.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.

关 键 词：SUBSHIFT CHAOS Hausdorff dimension Symbolic space 

分 类 号：O177.3[理学—数学]