FINITE-TIME STOCHASTIC CUCKER-SMALE-TYPE MODEL WITH MULTIPLICATIVE NOISE

초록

In this paper, we explore finite-time stochastic flocking in a Cucker–Smale type model influenced by multiplicative white noise. To this end, we derive several preparatory results and apply stochastic analysis to reduce the model to suitable stochastic differential in- equalities. We then numerically verify that the proposed model exhibits the desired finite-time stochastic flocking under appropriate sufficient conditions on the initial data and system param- eters.

키워드