ON THE DYNAMICAL BEHAVIOR OF CELLULAR AUTOMATA
Xu Xu, Yi Song, Stephen P. Banks · International Journal of Bifurcation and Chaos · 2009
In this paper, we show that the mathematical classification of one-dimensional cellular automata given by Dubois–Violette and Rouet [1987] does not truly represent the different behaviors possible. In fact we show that many rules of their type O have totally different behavior. A better classification is based on Smale's basic sets and nonwandering points.