TIME EVOLUTION OF CIRCULAR CELLULAR AUTOMATA ON SQUARE LATTICES

Time evolutions of the circular cellular automata (CCA) are studied. The pattern seems to reach a dynamic balance state after several iterations in a fixed space. The time variations of population of each quadrant obey the famous logistic equation. It is found that although the initial patterns are very sensitive to the location of the first ring and the growth sequence, the dynamic patterns are independent of them. We propose that the CCA model may be used to simulate the evolution of biology.