Wolfram第Ⅰ等级总和规则元胞自动机的Langton参数相空间斑图

J4 ›› 2010, Vol. 48 ›› Issue (1): 63-66.

Wolfram第Ⅰ等级总和规则元胞自动机的Langton参数相空间斑图

王慧敏^1,2, 闫广武^2

1. 长春税务学院应用数学系, 长春 130117|2. 吉林大学数学学院, 长春 130012

收稿日期:2009-04-21 出版日期:2010-01-26 发布日期:2010-01-27
通讯作者: 闫广武 E-mail:yangw@email.jlu.edu.cn.

Langton Parameter Phase Figure of Wolfram Class ⅠTotal Rule Cellular Automata

WANG Huimin^1,2, YAN Guangwu^2

1. Department of Applied Mathematics, Changchun Taxation College, Changchun 130117, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2009-04-21 Online:2010-01-26 Published:2010-01-27
Contact: YAN Guangwu E-mail:yangw@email.jlu.edu.cn.

摘要/Abstract

摘要：

针对状态数k=3, 相邻半径r=2的一维总和规则元胞自动机, 引入两个推广的Langton参数λ₁和λ₂, 研究Wolfram第Ⅰ等级元胞自动机的规则空间, 得到了参数λ₁和λ₂与规则R的关系图及相空间斑图. 结果表明, 利用两个参数λ₁和λ₂描述k=3,r=2的一维元胞自动机的总和规则空间, 可以得到较详细的Wolfram第Ⅰ等级的相空间结构.

关键词: 总和规则元胞自动机, Wolfram第Ⅰ等级, Langton参数

Abstract:

The authors introduced the conception of generalized Langton parameters λ₁ and λ₂ to the onedimensional total rule cellular automata with k=3,r=2. The authors studied the rule space of Wolfram class Ⅰ total rule cellular automata and obtained the figures of relation between λ_1 and R, λ_2 and R and the phase figure. The results show that de
scribing the total rule space of onedimensional cellular automata with k=3, r=2with two parameters λ₁ and λ_2, one can obtain more detailed phase space structure of Wolfram class Ⅰ.

Key words: total rule cellular automata, Wolfram class Ⅰ, Langton parameter

中图分类号:

O192

王慧敏, 闫广武. Wolfram第Ⅰ等级总和规则元胞自动机的Langton参数相空间斑图[J]. J4, 2010, 48(1): 63-66.

WANG Hui-Min, YAN An-Wu. Langton Parameter Phase Figure of Wolfram Class ⅠTotal Rule Cellular Automata[J]. J4, 2010, 48(1): 63-66.