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

Shousuke Ohmori; Yoshihiro Yamazaki

doi:10.1093/ptep/ptu106

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

Shousuke Ohmori, Yoshihiro Yamazaki

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Article number	083A01
Journal	Progress of Theoretical and Experimental Physics
Volume	2014
Issue number	8
DOIs	https://doi.org/10.1093/ptep/ptu106
Publication status	Published - 2014 Aug

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1093/ptep/ptu106

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

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