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

Abstract

Fuzzy cellular automaton (CA) is a dynamical system with a continuous state value embedding a CA with a discrete state value. We investigate a fuzzy CA obtained from an elementary CA of rule number 38. Its asymptotic solutions are classified into two types. One is a solution where stable propagating waves exist, and the other is a static uniform solution of constant value.