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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2014 100, 19 pp. (Mi ipmp1952)

A discreet distributed “power-society” model modification based on cellular automaton

A. P. Petrov, M. E. Stepantsov


Abstract: In this paper we consider construction and primary research of the stochastic cellular automaton based version of the “power-society” model, describing the dynamics of power distribution in a hierarchy. We herein formulate basic principles of the model and present a simulation system for numeric experiments. It is shown that most properties of the deterministic model that is a system of differential equations are inherited by the cellular automaton model, which is also shows a possibility to attract power distribution to a solution, proved to be unstable in the classical model.

Keywords: “power-society” system, cellular automata, numerical experiment, simulation.



© Steklov Math. Inst. of RAS, 2024