Combinatorial properties of some cellular automata related to the mosaic cycle concept.
A cellular automaton that is related to the "mosaic cycle concept" is considered. We explain why such automata sustain very often, but not always, n-periodic trajectories (n being the number of states of the automaton). Our work is a first step in the direction of a theory of these type of automata which might be useful in modeling mosaic successions.
Lobry
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COMORE, INRIA, BP 93, Sophia-Antipolis, France.
Elmoznino
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D005075:Biological Evolution; D003198:Computer Simulation; D017753:Ecosystem; D006801:Humans; D008962:Models, Theoretical