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Invariant Cone Families in infinite-dimensional dynamical systems

2018/01/12 08:39  点击:[]

报告人:王毅(中国科学技术大学

 

时间:2018.1.13(星期六)920-1000

 

地点:理科楼LD201

 
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.

 

报告人简介:王毅,中国科学技术大学数学科学学院教授,博士生导师。主要从事单调动力系统与微分方程领域的研究,在包括J. Eur. Math. Soc.Adv. Math.Proc. London Math. Soc.SIAM J. Math. Anal.Trans. Amer. Math. Soc.J. Diff. Eqns.J. Math. Biol.等高水平杂志上发表论文30余篇。全国百篇优秀博士学位论文获得者,入选教育部新世纪优秀人才支持计划。

 

 

学院联系人:朱长荣

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