Derivation of a stochastic cellular automaton model for the dynamics of bistable units with global and asymmetric local interactions
Shousuke Ohmori, Yoshihiro Yamazaki · Progress of Theoretical and Experimental Physics · 2014
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.