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系列学术活动之(33)

Bifurcation Analysis on Some Slow-Fast Motions in Dynamical Systems

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系列学术活动之(33

题    目:

Bifurcation Analysis on Some Slow-Fast Motions in Dynamical Systems

摘    要:

In this talk, we present a method to analyze certain type of slow-fast motions

in dynamical systems. For singular perturbed dynamical systems, the well-known

Geometric Singular Perturbation Technique (GSPT) is usually applied to find

the special periodic solutions -- slow-fast oscillating motions. However, many practical problems may not be able to be put in the form of singular perturbed equations, but they still exhibit slow-fast motions. In that case, based on dynamical system theory, we developed a method to identify and analyze certain type of slow-fast motions. We will use biological examples to illustrate such motions and give a comparison between the GSPT and our method.

报 告 人:

郁培,教授,加拿大西安大略大学

时    间:

201861510:00-11:30

地    点:

明义-204

报告人概况:

郁培,加拿大西安大略大学(western university, canada)教授,博士生导师,常微分方程与动力系统领域著名专家,在非线性和混沌动力系统、稳定性理论和分支理论、微分方程的计算问题、生物数学以及物理和工程系统的应用问题等做出了杰出的工作。曾获安大略省长杰出研究奖,和合编辑在《siam review》等杂志发表近200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 sciences181册,2012年在springer出版。郁培教授任《journal of applied analysis and computation》、《international journal of bifurcation and chaos》与《communications in nonlinear science and numerical simulation》等国际知名杂志编委。







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