题目：Dynamics of Almost Periodic Scalar Parabolic Equations on the Circle
报告人：王毅教授  中国科学技术大学
时间：2015年6月11日上午9:00-11:00
地点：维格堂319
摘要: In this talk, we focus on an almost periodic scalar reaction-diffusion equation on the circle. The structure of the minimal set M is thoroughly investigated under the assumption that its associated center space is no more than 2-dimensional. Such situation naturally occurs while, for instance, M is hyperbolic or uniquely ergodic. We show that M is a 1-cover provided that M is hyperbolic. If dimV^c(M)=1, then either M is an almost 1-cover; or can be  embedded into an almost periodically forced circle-flow. This new phenomena we discovered here reinforces the appearance of the almost periodically forced circle flow in infinite-dimensional dynamical systems. This is a joint work with Wenxian Shen and Dun Zhou.