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28 March 2024
 
  » arxiv » nlin.CG/0204045

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Structure of Rule Table and Phase Diagram of One Dimensional Cellular Automata
Sunao Sakai ; Megumi Kanno ;
Date 18 Apr 2002
Subject Cellular Automata and Lattice Gases | nlin.CG
AffiliationFaculty of Education, Yamagata University
AbstractIn addition to the $lambda$ parameter, we have found another parameter which characterize the class III, class II and class IV patterns more quantitatively. It explains why the different classes of patterns coexist at the same $lambda$. With this parameter, the phase diagram for an one dimensional cellular automata is obtained. Our result explains why the edge of chaos(class IV) is scattered rather wide range in $lambda$ around 0.5, and presents an effective way to control the pattern classes. oindent PACS: 89.75.-k Complex Systems
Source arXiv, nlin.CG/0204045
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