Cellular Automaton Classification according to Attractor Type

Choose a class of attractor type and a rule from that attractor type. The top graphic shows an evolution of the rule from random initial conditions. The bottom graphic shows a perturbed evolution of the CA on top, with affected cells highlighted. Change the number of perturbed cells, the location of perturbation, or the initial conditions.



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The classification according to attractor type is from W. Li and N. Packard, "The Structure of the Elementary Cellular Automata Rule Space," Complex Systems, 4(3), 1990 pp. 281-297. The classes are (1) null point, (2) homogenous, (3) periodic, (4) locally periodic, and (5) globally chaotic. There are 88 rules, reduced from the 256 elementary rules under the left-to-right transformation, the 0 to 1 transformation, or a combination. In its default setting, the Demonstration highlights new black cells and new white cells only. Different color settings can reveal the unhighlighted, perturbed evolution or the changes superimposed on the unaffected cells.
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