A New Parameter F to Classify Cellular Automata Rule Table Space and a Phase Diagram in λ-F Plane
Abstract
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 \frac{1}{K} \le \lambda \le 1-\frac{1}{K} . The mechanism which determines the difference between the pattern classes at a fixed \lambda is found, and it is studied quantitatively by introducing a new parameter F. Using the parameter F and \lambda, the phase diagram of cellular automata is obtained for 5-neighbor and 4-state cellular automata. PACS: 89.75.-k Complex Systems