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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