Speaker: Lin Wang, University of New Brunswick, Canada

Abstract: In this talk, I will present some necessary and sufficient conditions for a two-agent flock model with processing delay to admit a time-asymptotic flocking. The results provide  a relation based on which proper initial positions and velocities can be selected to form a flocking with predetermined position displacement distance. The concepts of flocking transcritical bifurcation and flocking Hopf bifurcation are introduced. These bifurcations show that the processing delay can terminate or induce a flocking, and can also induce a periodic flocking.  It is also shown that the processing delay can induce flocking switches in the sense that as the processing delay varies, the flock may undergo a sequence of bifurcations leading to the switch from one flocking state to another.

报告时间：2015年12月28日16:30-17:30

报告地点：数学科学研究院316会议室（环境学院楼316）