Geodesic
Simulation of three-tier system "power-society" based on cellular automata
Matematičeskoe modelirovanie, Tome 28 (2016) no. 3, pp. 119-132

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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
Mots-clés : simulation. 
@article{MM_2016_28_3_a7,
     author = {A. P. Petrov and M. E. Stepantsov},
     title = {Simulation of three-tier system "power-society" based on cellular automata},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--132},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_3_a7/}
}
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A. P. Petrov; M. E. Stepantsov. Simulation of three-tier system "power-society" based on cellular automata. Matematičeskoe modelirovanie, Tome 28 (2016) no. 3, pp. 119-132. http://geodesic.mathdoc.fr/item/MM_2016_28_3_a7/