报告题目：Study of Slow-Fast Motions Using Dynamical Systems Approach

报告人：Pei Yu

单位：Western University

时间：2022年12月29日9：00

腾讯会议：389-699-373

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

简介：Pei Yu is currently a Professor in the Department of Applied Mathematics, Western University, Canada. He received his B.Sc. degree from Shanghai Jiao Tong University in 1982, and M.A.Sc. and Ph.D. degrees from University of Waterloo in 1984 and 1986, respectively. Professor Yu's main research interests include nonlinear and chaotic dynamical systems, stability and bifurcation, computation of differential equations, biological mathematics and applications to physical and engineering systems. He (as an author or a co-author) has published 3 monographs, over 170 refereed journal articles. Professor Yu received a Premier's Research Excellence Award of Ontario.