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报告题目：Relaxation oscillations in predator-prey systems

主讲人：艾尚兵教授（美国阿拉巴马大学）

时间：2023年12月2日（周六）10:00 a.m.

腾讯会议：528-329-247

主办单位：统计与数学学院

摘要：Relaxation oscillations occur in slow-fast planar dynamical systems.  These oscillations typically exhibit a “relaxed” behavior characterized by alternating processes on different time scales, namely, a long relaxation period during which the solutions approach a branch of the nullcline of fast variable, say x, followed by a short impulsive period in which the solutions jump to a different branch of the nullcline. So relaxation limit cycles approach a singular closed orbit formed by horizontal line segments and the arcs on the different branches of the nullcline of the fast variable x. 

Relaxation oscillations are well studied and understood for the famous Van del Pol equation that arises in the study of nonlinear electrical circuits.  In this talk, we discuss two new types of relaxation oscillations in predator-prey systems. The talk is based on joint works with Susmita Sadhu and Yingfei Yi.

主讲人简介：

艾尚兵，美国阿拉巴马大学教授、博士生导师，分别于1984、1987年在山东大学获得数学系本科、硕士学位，1987-1993年留山东大学工作；1993-1997年在匹兹堡大学理学院任研究生助理；1998-2000年在匹兹堡大学理学院任助教；1999年在匹英堡大学获得博士学位；2000-2002年在佐治亚理工学院动力系统与非线性研究中心做博士后；2002年在阿拉巴马亨茨维尔大学任助教；2008年任教授。艾尚兵教授是微分方程、动力学系统及其应用等领域的国际知名专家。主要从事微分方程，动力系统，泛函微分方程，时滞差分方程问题的研究。在SIAMJ.Appl.Math，SIAM.JMath. Anal, J. Differential Equations, Trans. Amer. Math. Soc., Proc. Roy. Soc. Edinburgh Sect. ANonlinearity，J.Math,Biol，J, Dynam.Differential Equations等国际知名期刊上发表论文40余篇。