A positive role of multiplicative noise on the emergence of flocking in a stochastic Cucker-Smale system.
In this article, we investigate the flocking of a stochastic Cucker-Smale system with multiplicative measurement noise. We show that there is a noise strength, below which the flocking occurs and the convergence time is a decreasing function of noise strength. Specifically, we find a power-law relationship between the convergence time and the density of group. We also investigate the influence of control parameter and an optimal value is found that minimizes the convergence time.
School of Science, China University of Mining and Technology, Xuzhou 221008, People's Republic of China.
Yongzheng
Y
Sun
School of Mathematical Sciences, LMNS, and Shanghai Key Laboratory of Data Science, Fudan University, Shanghai 200433, People's Republic of China.
Wei
W
Lin