Asymptotic solution to a fuzzy elementary cellular automaton of rule number 38
Cellular Automata and Lattice Gases
2023-02-06 v4 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2212.12258,
title = {Asymptotic solution to a fuzzy elementary cellular automaton of rule number 38},
author = {Ko Yamamoto and Daisuke Takahashi},
journal= {arXiv preprint arXiv:2212.12258},
year = {2023}
}
Comments
7 pages, 3 figures