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

Shousuke Ohmori, Yoshihiro Yamazaki

    研究成果: Article

    抜粋

    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.

    元の言語English
    記事番号014003
    ジャーナルJournal of the Physical Society of Japan
    85
    発行部数1
    DOI
    出版物ステータスPublished - 2016 1 15

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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