Notes on Symbolic Representations of Dynamical Systems

被引：0
|
作者：
Guan, Junbiao [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
来源：
JOURNAL OF CELLULAR AUTOMATA | 2012年 / 7卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Symbolic representation; cellular automaton; subshift; symbolic dynamics; MARKOV PARTITIONS; PERSPECTIVE; WOLFRAMS; SCIENCE; TIME; KIND;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this note, we presents some discussions on symbolic representations of dynamical systems through shifts and subshifts. By employing the tool of symbolic dynamics, we show that there exists a conjugate representation between general symbolic dynamical systems and usual symbolic dynamical systems through subshifts. For any one-dimensional cellular automaton, we demonstrate that there exists a subsystem such that it is a semi-conjugate representation of the cellular automaton through the shift.
引用
收藏
页码：199 / 206
页数：8
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