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Nonlinear Sciences > Cellular Automata and Lattice Gases
Title: Asymptotic solution to a fuzzy elementary cellular automaton of rule number 38
(Submitted on 23 Dec 2022 (v1), last revised 3 Feb 2023 (this version, v4))
Abstract: Fuzzy cellular automaton is a dynamical system with a continuous state value embedding a cellular automaton with a discrete state value. We investigate a fuzzy cellular automaton obtained from an elementary cellular automaton 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.
Submission history
From: Daisuke Takahashi [view email][v1] Fri, 23 Dec 2022 11:09:01 GMT (11kb,D)
[v2] Wed, 28 Dec 2022 16:14:51 GMT (11kb,D)
[v3] Thu, 29 Dec 2022 01:46:53 GMT (11kb,D)
[v4] Fri, 3 Feb 2023 13:24:29 GMT (11kb,D)
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