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

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

2002-04-18

arxiv.org/abs/nlin/0204045v5

Nonlinear Sciences

Cellular Automata and Lattice Gases

13 pages in latex, 3 Postscript figures

Scientific paper

In 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. \noindent PACS: 89.75.-k Complex Systems

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