应数学与统计学院邀请，法国巴黎第六大学Jean-Pierre Francoise教授于10月27日开始对数学与统计学院进行为期两周的访问，为数学试验班学生进行专题授课。

10月27日下午2:00，主楼A -104教室座无虚席，Jean-Pierre教授为数学试验班11级、12级学生进行了题为“Nonlinear Dynamics and Models”的专题授课，数学学院特聘教师北京大学李承治教授、数学学院朱旭教授以及部分青年教师也到场听取了报告。

Jean-Pierre教授首先引入了在一般的度量空间下连续动力系统的定义，介绍了连续动力系统的不变集、极限集、稳定性、周期性等概念，并举出了典型、形象的例子说明了这些概念的几何含义。之后，Jean-Pierre教授还讲解了在一般Banach空间下的微分方程基本定理：解的唯一存在定理；并给出了它的诸多推论与应用。最后，Jean-Pierre教授研究了动力系统轨道周期性，并证明了具有周期性的轨道的若干性质。报告中，李承治教授就试验班学生未能完全理解并感兴趣的知识点做出进一步解释与引导，帮助试验班学生更好地理解知识点、最大程度地汲取报告的精华。

简介:

Jean-Pierre Francoise is currently Professor of Mathematics at the UPMC-Paris 6 and member of the Laboratory J.-L. Lions, UMR Paris 6-CNRS n°7598. He graduated at the University of Grenoble both in Physics and in Mathematics. He entered the CNRS in 1977 and received his PhD in 1980. In 1984, he was invited at Berkeley as a visiting assistant professor. He participated via several visiting in American and Canadian universities to the development of applied dynamical systems. In 1990, he was named professor of Mathematics at the UPMC. In 1993, he discovered techniques to push bifurcation theory to higher order.