MATHEMATICAL AND SOFTWARE SOLUTIONS OF STOCHASTIC CELLULAR AUTOMATONS WITH MEMORY
Abstract
In provided article discussed model of stochastic cellular automatons with memory. The analysis of model shows dynamics of statuses changing in this sort of systems and it has very difficult and unobvious behavior, which required a further study. That sort systems and similar objects can be carried to a new class of cellular automatons. The environment with communications between cells of the cellular automaton for separate steps of process of transition are modelled to be considered as the network which having random structure (it allows to speak about stochasticity), and the accounting of memory in behavior of cells to be described by sets of the changing rules.
For researching developed model was developed algorithms of their operation and the special software. Simulation on modeling showed that the created model of stochastic cellular automatons with memory can be used for the description of group behavior in social systems, for example a group choice during the electoral campaigns.
References
2. Hay, J., Flynn, D. The effect of network structure on individual behavior. Complex Systems., 2014, 23 (4), pp. 295-311.
3. Wang, A., Wu, W., Chen, J. Social network rumors spread model based on cellular automata., 2014, Proceedings - 2014 10th International Conference on Mobile Ad-Hoc and Sensor Networks, MSN 2014.
4. Li, J., Chen, Z., Qin, T. Document Using cellular automata to model evolutionary dynamics of social network. IET Conference Publications, 2013(644 CP), pp. 200-205.
5. Zimbres, R.A., de Oliveira, P.P.B. Dynamics of Quality Perception in a Social Network: A Cellular Automaton Based Model in Aesthetics Services. Electronic Notes in Theoretical Computer Science, 2009, 252, pp. 157-180.
6. Ding, J., Li, Q., Li, Z. Social conformity and price fluctuation in artificial stock market. Proceedings - 2008 Pacific-Asia Workshop on Computational Intelligence and Industrial Application, PACIIA 2008.
7. B.M. Levitan, Pochti periodicheckie functhii, M., 1953.

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