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Totalistic two-dimensional cellular automata exhibiting global periodic behavior

Nino Boccara·Michel Roger
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Abstract

We have determined families of two-dimensional deterministic totalistic cellular automaton rules whose stationary density of active sites exhibits a period two in time. Each family of deterministic rules is characterized by an ``average probabilistic totalistic rule'' exhibiting the same periodic behavior.

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Nino Boccara, Michel Roger. 1999-03-29. Totalistic two-dimensional cellular automata exhibiting global periodic behavior. https://doi.org/10.1142/s0129183199000814

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