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

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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.

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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