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《Mathematics in Practice and Theory》 2018-06
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The Stochastic Motsch-Tadmor Model in Flocks

LIU Yi;HOU Dong-mei;Department of Mathematics, Suihua University;  
The flocking of the stochastic Motsch-Tadmor model is considered by employing the multiplicative white noises as the stochastic forces. In the system which emphasizes the asymmetric interactions between agents, the stochastic flocking definitions are given and the constant equilibrium state is reached with the almost sure exponential convergence through the control of the noise strength and initial data. Furthermore the sufficient condition to guarantee the stochastic flocking to occur.
【Fund】: 全国统计科学研究项目(2016LY19)
【CateGory Index】: O211.6
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