题目:  Invariant Cone Families in infinite-dimensional dynamical systems

报告人: 王毅（中国科学技术大学）

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

地点:  蒙民伟楼1105室

邀请人： 程伟  老师