微分动力系统学术报告

报告题目: Shadowing for nonuniformly hyperbolic maps in Hilbert spaces

报告人：任宪坤 (重庆大学)

时间： 2023-12-26 14:30-15:30

地点： 沙河校区，E404

摘要：In this talk, we will discuss a shadowing lemma for nonuniformly hyperbolic maps in Hilbert spaces. As applications, we will show positive Lyapunov exponents of a hyperbolic measure can be approximated by positive Lyapunov exponents of hyperbolic periodic measures

and give a upper bound of the metric entropy using the exponential growth rate of those periodic orbits.

邀请人：文晓、张金华