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

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