Cellular Automata for Spatiotemporal Pattern Formation from Reaction-Diffusion Partial Differential Equations

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Abstract

Ultradiscrete equations are derived from a set of reaction-diffusion partial differential equations, and cellular automaton rules are obtained on the basis of the ultradiscrete equations. Some rules reproduce the dynamical properties of the original reaction-diffusion equations, namely, bistability and pulse annihilation. Furthermore, other rules bring about soliton-like preservation and periodic pulse generation with a pacemaker, which are not obtained from the original reaction-diffusion equations.

Original languageEnglish
Article number014003
JournalJournal of the Physical Society of Japan
Volume85
Issue number1
DOIs
Publication statusPublished - 2016 Jan 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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