题目：Bifurcation Theory and Its Application
时间：11月26日（周三）13:00~16:00
地点：文理学院报告厅（1C102）
附：加拿大Western University郁培教授简介及报告内容
郁教授简介：郁培教授是加拿大Western University终身教授，是动力系统领域的国际知名专家。他涉及的研究领域包括动力系统的稳定性，分叉和混沌，微分方程的规范型计算，希尔伯特的16问题，生物数学以及这些理论在工程领域的应用。尤其在微分方程和动力系统的计算方面，他的研究小组处于世界领先地位。他和他的合作者已经在国际杂志上发表了200多篇科学论文，还出版了在动力系统理论和控制理论方面三部专著。他曾获得安大略省长杰出研究奖和大学优秀教学奖。
Title: Bifurcation Theory and Its Application
Abstract: In this talk, we first briefly introduce some basic concepts of dynamical systems, such as stability, bifurcation, center manifold theory and normal form theory, and then focus on Hopf bifurcation. For application, we will present a deterministic in-host infection model to study viral blips (based on our SIGEST paper published in SIAM Review, 2014). This is the first time to give a complete dynamic analysis with a simple model for studying recurrent infection. Using bifurcation theory we propose a hypothesis consisting of four conditions for the existence of viral blips, revealing the basic mechanism of such phenomenon.
