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

Ohmori Shousuke<sup>*</sup>; Yamazaki Yoshihiro

doi:10.1093/ptep/ptu106

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

作者：Ohmori Shousuke^*; Yamazaki Yoshihiro

来源：Progress of Theoretical and Experimental Physics, 2014, 2014(8): 083A01.

DOI：10.1093/ptep/ptu106

摘要

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.