报告题目: Periodic Structure and Horseshoe for quasi-periodic systems
报告人: 连增教授 四川大学
时间：12月7日（周三）上午8:50-9:50
地点：管研楼1518教室
邀请人：黄文
摘要: Smale Horseshoe is a classical model which is introduced by Smale in 1960's to describe
the chaotic phenomena of certain dynamical systems. In 1980's, Katok has shown that for
diffeomorphism on compact Riemannian manifolds nonuniformly hyperbolic system persists
the existence of infinitely many periodic orbit and Smale horseshoe. However, all of the
existing results are for autonomous systems. One natural question is: for non-autonomous
systems, is there any special structure which can be viewed as analogue of periodic orbit or
horseshoe? In the result I report in this talk, we have defined periodic structure and Smale
horseshoe for non-autonomous (or random) systems, and also proved the existence of certain
objects for a type of quasi-periodic hyperbolic systems. This work is joint with Wen Huang.
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