TOTALISTIC TWO-DIMENSIONAL CELLULAR AUTOMATA EXHIBITING GLOBAL PERIODIC BEHAVIOR

N. Boccara () and M. Roger ()
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N. Boccara: DRECAM SPEC Centre d'Études de Saclay, 91191 Gif-sur-Yvette Cedex, France
M. Roger: DRECAM SPEC Centre d'Études de Saclay, 91191 Gif-sur-Yvette Cedex, France

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 06, 1017-1024

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.

Keywords: Cellular automata; Probabilistic average cellular automaton rules; Emergent behavior (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000814

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