题目: Dynamics of cooperative McKean-Vlasov SDEs

报告人：姚金翔，杜伦大学

时间: 2025年11月25日（周二），9:00-11:00

地点: 东区管理科研楼1308

摘要: McKean–Vlasov SDEs arise as fundamental mathematical models across a wide range of fields, including physics, biology, network dynamics, and control theory. In this talk, we analyze the structure of attractors for monotone non-autonomous random dynamical systems and show that weakly dissipative cooperative stochastic differential equations (SDEs) with external forcing admit a unique globally attracting random path, which becomes (quasi-)periodic whenever the forcing is (quasi-)periodic. Building on this result, we further obtain pathwise results for cooperative McKean–Vlasov SDEs, including the existence of order-structured stationary solutions and the appearance of connecting paths—a stochastic extension of the classical notion of connecting orbits in deterministic dynamical systems. This is joint work with Chunrong Feng, Baoyou Qu, and Huaizhong Zhao.