Structure of Rule Table and Phase Diagram of One Dimensional Cellular Automata
Abstract
Description
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. \noindent PACS: 89.75.-k Complex Systems
13 pages in latex, 3 Postscript figures
13 pages in latex, 3 Postscript figures