偏微分方程讨论班
ECNU PDE Seminar

报告题目: Chaotic Behavior for Periodically Forced Parabolic Equations
演讲人： Prof. Kening Lu (吕克宁)
Brigham Young University,USA
时间： 2010年8月6日（星期五）下午2：30--3：30
地点： 华东师大中山北路校区理科大楼A座1510室

Abstract
We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given.