A New Parameter F to Classify Cellular Automata Rule Table Space and a Phase Diagram in λ-F Plane

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It is shown that for the N-neighbor and K-state cellular automata, the class II, class III and class IV patterns coexist at least in the range 1/K ≤ λ≤ 1-1/K. The mechanism which determines the difference between the pattern classes at a fixed λ is found, and it is studied quantitatively by introducing a new parameter F. Using the parameter F and λ, the phase diagram of cellular automata is obtained for 5-neighbor and 4-state cellular automata. PACS: 89.75.-k Complex Systems