报告题目：Group Actions in monotone dynamical systems and applications (1)

报告人：王毅（中国科学技术大学）

报告时间：2017年9月22日09:30-10：30

报告地点：维格堂319

报告摘要： In this talk, I will focus on the dynamics of nonautonomous monotone systems under group actions in the framework of skew-product semiflows. We will report along such topic several progress including the (asymptotic) symmetry of the system and the appearance of almost periodically forced circle flow in the infinite-dimensional systems generated by certain evolutionary equations.


报告题目：Group Actions in monotone dynamical systems and applications (2)

报告人：王毅（中国科学技术大学）

报告时间：2017年9月22日10:30-11：30

报告地点：维格堂319

报告摘要：In our prior work, a compact connected group G-action has been considered on a strongly monotone skew-product semiflow. We here relax the strong monotonicity and compactness requirements, and establish a theory concerning symmetry or monotonicity properties of uniformly stable 1-cover minimal sets. This theory are then applied to show rotational symmetry of certain stable entire solutions for a class of nonautonomous reaction-diffusion equations on R^n, as well as monotonicity of stable traveling waves of some nonlinear diffusion equations in time almost periodic structures. These are joint works with Feng Cao and Mats Gyllenberg. 



报告题目：Group Actions in monotone dynamical systems and applications (3)

报告人：王毅（中国科学技术大学）

报告时间：2017年9月22日11:30-12：30

报告地点：维格堂319

报告摘要：We further investigated the appearance of almost periodically forced circle flow in the infinite-dimensional systems generated by the almost-periodic semilinear scalar parabolic equations on the circle. In particular, under the assumption on reflection symmetry for the nonlinearity, we presented a trichotomy classification for the structures of the corresponding omega-limit sets. These are joint works with Wenxian Shen and Dun Zhou.