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

Shousuke Ohmori, Yoshihiro Yamazaki

    Research output: Contribution to journalArticle

    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

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    cellular automata
    partial differential equations
    reaction-diffusion equations
    pulses
    solitary waves

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Cellular Automata for Spatiotemporal Pattern Formation from Reaction-Diffusion Partial Differential Equations. / Ohmori, Shousuke; Yamazaki, Yoshihiro.

    In: Journal of the Physical Society of Japan, Vol. 85, No. 1, 014003, 15.01.2016.

    Research output: Contribution to journalArticle

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