Spontaneous Emergence of Spatio-Temporal Order in Class 4 Automata
arXiv:cond-mat/0505011 · doi:10.1016/j.physa.2005.05.016
Abstract
We report surprisingly regular behaviors observed for a class 4 cellular automaton, the totalistic rule 20: starting from disordered initial configurations the automaton produces patterns which are periodic not only in time but also in space. This is the first evidence that different types of spatio-temporal order can emerge under specific conditions out of disorder in the same discrete rule based algorithm.
5 pages, 6 color figures, Proceedings Medyfinol 2004, Physica A in print