Abstract
All 65536 cellular automata on the nearest neighbor square lattice (no memory effects) were simulated numerically and classified according to simple Wolfram-type criteria. Only about one out of ten rules leads to a fixed point or an oscillation of period two. More useful seems the classification according to damage spreading: seven percent of the rules let an initial disturbance die out, in 30 percent the damage remains localized, and in the other cases it spreads over the whole lattice: Chaos.
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© 1990 Springer-Verlag Berlin Heidelberg
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Stauffer, D. (1990). Classification and Exponents of Cellular Automata. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics II. Springer Proceedings in Physics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75234-6_4
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DOI: https://doi.org/10.1007/978-3-642-75234-6_4
Publisher Name: Springer, Berlin, Heidelberg
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