Noise accelerates synchronization of coupled nonlinear oscillators

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.