TOPOLOGICAL ENTROPY OF PERIODIC COVEN CELLULAR AUTOMATA

被引：0
|
作者：
Liu, Weibin [1 ]
Ma, Jihua [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 02期
关键词：
Cellular automata; periodic word; topological entropy; EQUICONTINUITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate topological entropy of periodic Coven cellular automatas; that is, the maps F-B : {0,1}(z) -> {0,1}(z) defined by F-B (x)(i), = x(i) + Pi(r)(j=1) (x(i+j) + b(j)) (mod 2), where B = b(1)b(2) ... b(r) is an element of {0,1}(r) (r >= 2), is a periodic word. In particular, we prove that if the minimal period of B is greater than r/2, the topological entropy is log 2.
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页码：579 / 592
页数：14
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