Study of Slow-Fast Motions Using Dynamical Systems Approach系列报告

发布时间：2019-11-01 来源：赢咖3 浏览次数：

Speaker:	Pei Yu	DateTime:	2019年11月5日晚上6:30-9:30；11月6日晚上6:30-9:30
Brief Introduction to Speaker: Pei Yu，Western University London, Canada。		Place:	六号楼二楼报告厅
Abstract:In this talk, we present a new 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 new method to identify and analyze certain slow-fast motions. We will use several biological examples to illustrate our method, and give a comparison between the GSPM and our method.