报 告 人: 吕克宁 教授
报告题目:Chaotic Behavior of Dynamical Systems Driven by an External Forcing
报告时间:2019年11月16日
报告摘要: This talk contains three parts:
(1) The existence of SRB measures and their properties for infinite dimensional dynamical systems and SRB measures for parabolic PDEs undergoing Hopf bifurcations driven by a periodic forcing with applications to the Brusselator;
(2) Positive entropy implying the existence of horseshoes for infinite dimensional random dynamical systems;
(3) Chaotic behavior of Anosov systems driven by an external forcing. This is based on the joint works with Wen Huang,Zeng Lian, Peidong Liu, Qiudong Wang, and Lai-Sang Young.