ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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The population of automata is a model of the complex systems

V. A. Vorob'ev1, Yu. V. Berezovska2, A. Yu. Kochnev3

AnnotationThe population of automata is a model of collective behavior of automata. Modeling of population dynamics is implemented by Causal Petri Net. Net places represent the states of automata. A net marking specifies a number of automata that are in corresponding states. Transitions represent events that result from the joint actions of the elements of a population. For each transition of net some value is specified, it defines probability (rate) of the transition response so a system of differential equations can be built. These equations describe the dynamics of the average number of automata in places while the logical conditions specified by Petri net are implemented. The numerical solution of the system is obtained using computer simulation.
Keywordspopulation of automata, causal net, Petri net, mean value dynamics, modeling.

1Professor, Department of Programming and High-Performance Computing, Northern (Arctic) Federal University, Arkhangelsk;

2Senior lecturer, Department of Programming and High-Performance Computing,Northern (Arctic) Federal University, Arkhangelsk;

3Chief of IT-education department, Northern (Arctic) Federal University, Arkhangelsk;

Citation: V. A. Vorob'ev, Yu. V. Berezovska , A. Yu. Kochnev , "[The population of automata is a model of the complex systems]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:2 (2013) 66–69 (In Russian)