Chaos for Subshifts of Finite Type

Huo Yun WANG; Jin Cheng XIONG

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Chaos for Subshifts of Finite Type

机译：有限类型子移位的混沌

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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.

机译：本文讨论了有限类型子移位的混乱。我们表明，对于由不可约和非周期性矩阵确定的有限类型的子移位，存在具有完整Hausdorff维数的有限混沌集。此外，对于由矩阵确定的任何有限类型的子移位，我们指出，包括正拓扑熵，分布混沌，混沌和Devaney混沌在内的情况是相互等价的。

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来源
《Acta Mathematica Sinica》 |2005年第6期|p.1407-1414|共8页
作者
Huo Yun WANG; Jin Cheng XIONG;
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作者单位

Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
subshift; chaos; hausdorff dimension; symbolic space;

机译：子移位;混沌;hausdorff维;符号空间;

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Chaos for Subshifts of Finite Type

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