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
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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