Derivation of a stochastic cellular automaton model for the dynamics of bistable units with global and asymmetric local interactions

Shousuke Ohmori, Yoshihiro Yamazaki

    Research output: Contribution to journalArticle

    Abstract

    By means of ultradiscretization and probabilistic treatment, we derive a stochastic cellular automaton (CA) model from a dynamical model for bistable units with global and asymmetric local interactions. The obtained CA model is composed of the elementary CA rule 254 with a probabilistic rule that regulates the average of the total cell states.

    Original languageEnglish
    Article number083A01
    JournalProgress of Theoretical and Experimental Physics
    Volume2014
    Issue number8
    DOIs
    Publication statusPublished - 2014

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    cellular automata
    derivation
    interactions
    cells

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

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    abstract = "By means of ultradiscretization and probabilistic treatment, we derive a stochastic cellular automaton (CA) model from a dynamical model for bistable units with global and asymmetric local interactions. The obtained CA model is composed of the elementary CA rule 254 with a probabilistic rule that regulates the average of the total cell states.",
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