Totalistic two-dimensional cellular automata exhibiting global periodic behavior

Details Totalistic two-dimensional cellular automata exhibiting global periodic behavior Totalistic two-dimensional cellular automata exhibiting global periodic behavior

1999-03-29

arxiv.org/abs/adap-org/9904002v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

8 figures

Scientific paper

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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