题目🤥：A Method to Analyze Certain Fast-Slow Motions in Dynamical Systems

报告人👨🏻‍🚀：郁培 教授 （Western University）

时间：5月12日（星期五），上午 10:30-11:30

地点：致远楼102室

郁培教授于1982年获得上海交通大学学士学位，之后留学加拿大滑铁卢大学，分别于1984年和1986年获硕士和博士学位⚆，现任加拿大西安大略大学应用数学系教授、博导💉📝。郁教授是常微分方程与动力系统领域著名专家，在微分方程定性、分支理论等做出了杰出的工作🪒，曾获安大略省长杰出研究奖🟠，和合作者在《SIAM Review》等杂志已发表190余篇论文以及Springer等出版社出版了多部专著，其中《Normal forms, Melnikov functions and bifurcation of limit cycles》被列为Applied Mathematical Sciences第181册，2012年在Springer出版👩🏼‍🎓。郁培教授任《Journal of Applied Analysis and Computation》、《InternationalJournal of Bifurcation and Chaos》与《Communications in Nonlinear Science and Numerical Simulation》等国际知名杂志编委🚵🏼。

报告摘要

In this talk, we present a method to analyze certain fast-slow motions in dynamical systems. For singular perturbed dynamical systems, the well-known Geometric Singular Perturbation Technique (GSPT) is usually applied to find the special limit cycles -- fast-slow periodic solutions. However, many practical problems may not be able to be put in the form of singular perturbed equations, but they still exhibit fast-slow motions. In that case, based on dynamical system theory, we developed a method to identify and analyze certain fast-slow motions. We will use biological examples to give a comparison between the GSPT and our method.

欢迎各位老师和同学参加！