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

发布时间:2019-11-01 作者: 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.
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