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Structure of Rule Table and Phase Diagram of One Dimensional Cellular Automata

By Sunao Sakai and Megumi Kanno


In addition to the λ 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 λ. 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 λ around 0.5, and presents an effective way to control the pattern classes. PACS: 89.75.-k Complex Systems

Year: 2002
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