| Chaos for Subshifts of Finite Type |
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| 作者姓名： | Huo Yun WANGD Jin Cheng XIONG |
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| 作者单位： | [1]epartment of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China [2]Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China |
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| 基金项目： | Supported by National Natural Science Funds of China （10171034） |
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| 摘 要： |
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| 关 键 词： | 符号空间 混沌理论 非周期矩阵 无序集 熵 |
| 收稿时间： | 2003-12-12 |
| 修稿时间： | 2003-12-122004-11-25 |
Chaos for Subshifts of Finite Type |
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| Huo Yun WANGD Jin Cheng XIONG.Chaos for Subshifts of Finite Type[J].Acta Mathematica Sinica,2005,21(6):1407-1414. |
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| Authors: | Huo Yun Wang Jin Cheng Xiong |
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| Institution: | (1) Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China;(2) Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | 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. |
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| Keywords: | Subshift Chaos Hausdorff dimension Symbolic space |
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