Embedding of expansive dynamical systems into symbolic dynamical systems

被引：10

作者：

Akashi, S ^{[1
]}

机构：

[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2000年 / 46卷 / 1-2期

关键词：

D O I：

10.1016/S0034-4877(01)80003-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let (X, d) be a compact and totally disconnected metric space, and Tan expansive continuous mapping on X with values in X. Then, it is shown that the expansive dynamical system (X, d, T) can be embedded into a certain symbolic dynamical system. Moreover, compactification of the family consisting of all nonexpansive mappings on a compact metric space is given.

引用

页码：11 / 14

页数：4

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