XU, Xu, SONG, Yi and BANKS, Stephen P. (2009). On the dynamical behaviour of cellular automata. International Journal of Bifurcation and Chaos, 19 (04), 1147-1156.
Abstract
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.
Read More: http://www.worldscientific.com/doi/abs/10.1142/S021812740902355X
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