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Fuzzy cellular automaton is a dynamical system with a continuous state valueembedding a cellular automaton with a discrete state value. We investigate afuzzy cellular automaton obtained from an elementary cellular automaton of rulenumber 38. Its asymptotic solutions are classified into two types. One is asolution where stable propagating waves exist, and the other is a staticuniform solution of constant value.

Asymptotic solution to a fuzzy elementary cellular automaton of rule number 38