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  • 天元讲堂(1.16):A uniform relative version of the flowbox theorem I
  • 浏览量:394 发布人:佚名 发布时间:2018-01-08 14:10:59
  • 报告题目:A uniform relative version of the flowbox theorem I


    报告人 文晓(北京航天航空大学)


    报告时间 2018年1月16日09:30-10:30

    报告地点  维格堂319

    报告摘要  In this talk, I will introduce a flowbox theorem for the Lipschitz vector fields on a Banach space. We will show that if $X$ is a Lipschitz vector field with a Lipschitz constant $L$, then there is a constant $r_0$ associated to $L$ only such that for any regular point $x$ of $X$, there is a flowbox with size $r_0\|X(x)\|$, and the Lipschitz constants of the respected lipeomorphism in the flowbox theorem has a uniform bound.


    报告题目:A uniform relative version of the flowbox theorem II

    报告人 文晓(北京航天航空大学)


    报告时间  2018年1月16日10:30-11:30

    报告地点  维格堂319

    报告摘要  In this talk, we will revisit the notion of sectional Poincar\e maps. We will use the notion of flowbox to give the definition of the sectional Poincar\'e maps of a $C^1$ vector filed and then prove the "uniform properties" of the sectional Poincar\'e maps which have been found by Liao, Gan-Yang by another way which is different from standard equations or holonomy maps generated by flow arcs.
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