题目: Invariant Cone Families in infinite-dimensional dynamical systems
摘要: In this talk, we will report some recent progress on the invariant cone families (ICF) in infinite-dimensional dynamical systems. For linear cocycles, we will discuss the close relation of the ICF with Multiplicative Ergodic Theorem, dominated splitting (exponential separation), as well as Krein-Rutman Type Theorem. For nonlinear cocycles, we show that ICF plays a key role in investigating the dynamics of nonautonomous parabolic equations on the cycle or on the higher-dimensional domain with symmetry. In particular, we show the appearance of almost periodically (autmorphically) forced circle flow and the asymptotic symmetry for infinite-dimensional systems generated by these nonlinear parabolic equations.
时间： 2018年1月10日（星期三） 10:00-11:00
邀请人： 程伟 老师