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Regular version of the site

Article

On Behavior of Stochastic Synchronization Models

Journal of Physics: Conference Series. 2016. Vol. 681. No. 1. P. 1-6.

We consider N-component synchronization models defined in terms of stochastic particle systems with special interaction. For general (nonsymmetric) Markov models we discuss phenomenon of the long time stochastic synchronization. We study behavior of the system in different limit situations related to appropriate changes of variables and scalings. For N = 2 limit distributions are found explicitly.