Cellular Automata Complexity Threshold and Classification: A Geometric Perspective

被引：1

作者：

Al-Emam, Mohamed ^{[1
,2
]}

Kaurov, Vitaliy ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn Elect, Cairo, Egypt

[2] Cairo Univ, Commun Dept, Cairo, Egypt

[3] Wolfram Res Inc, Champaign, IL 61820 USA

来源：

COMPLEX SYSTEMS | 2014年 / 23卷 / 04期

关键词：

Ordinary differential equations;

D O I：

10.25088/ComplexSystems.23.4.355

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the results of mathematical experiments on the so-called "orientation vector." It looks at complexity in terms of three perspectives: Wolfram, Langton, and Chua. Critically, we consider Chua's geometrical complexity index and a complexity-based classification of elementary cellular automata. Ideas in terms of solutions for ordinary differential equations and complexity measurements are proposed to the research community for discussion.

引用

页码：355 / 376

页数：22