On Behavior of Stochastic Synchronization Models

International Conference on Computer Simulation in Physics and Beyond 2015

物理学;计算机科学

Manita, Anatoly^1,2

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, GSP-1, Moscow

119991, Russia^1

Higher School of Economics (HSE), Moscow Institute of Electronics and Mathematics, Russia^2

关键词: Limit distribution;    Markov model;    Nonsymmetric;    Particle systems;    Scalings;    Stochastic synchronization;    Synchronization models;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/681/1/012024/pdf
DOI  :  10.1088/1742-6596/681/1/012024

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.