学术讲座
现在位置: 网站首页 > 科研动态 -> 学术讲座
  • 天元讲堂(6.21):A rescaled expansiveness for flows
  • 浏览量:235 发布人:佚名 发布时间:2017-06-13 12:18:06
  • 报告题目:A rescaled expansiveness for flows I


    报告人 文晓(北京航天航空大学)


    报告时间 2017年6月21日09:30-10:30

    报告地点  维格堂319

    报告摘要 In this talk, I will introduce a new version of expansiveness for $C^1$ vector fields as following: a $C^1$ vector field $X$ will be called {\it rescaling expansive} on a compact invariant set $\Lambda$ of $X$ if for any $\epsilon>0$ there is $\delta>0$ such that, for any $x,y\in \Lambda$ and any time reparametrization $\theta:\mathbb{R}\to \mathbb{R}$, if $d(\varphi_t(x), \varphi_{\theta(t)}(y)\leq \delta\|X(\varphi_t(x))\|$ for all $t\in \mathbb R$, then $\varphi_{\theta(t)}(y)\in \varphi_{(-\epsilon, \epsilon)}(\varphi_t(x))$ for all $t\in \mathbb R$. Then I'll show several equivalent definitions for this rescaled expansiveness similar to the Bowen-Walters' expansiveness for nonsingular flows.

    报告题目:A rescaled expansiveness for flows II

    报告人 文晓(北京航天航空大学)


    报告时间 2017年6月21日10:30-11:30

    报告地点  维格堂319

    报告摘要 In this talk, I will show that every multisingular hyperbolic set (singular hyperbolic set in particular) is rescaling expansive and a converse holds generically. Here the multisingular hyperbolicity is a notion recently introduced by Bonatti-da Luz which well characterize the notion of star flows.
苏州大学数学科学学院 Copyright 2016.All Rights Reserved. 管理后台
电话:0512-65112637 传真:0512-65112637  E-mail:sxxy@suda.edu.cn  地址:苏州市十梓街1号 邮编:215006 苏ICP备06032411号