报告题目：Relaxation oscillations in predator-prey systems

报告人：艾尚兵

报告时间：2023年11月04日（周六）9:00-10:00

报告地点：176-489-566（腾讯会议）

报告摘要：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, followed by a short impulsive period in which the solutions jump to a different branch of the nullcline.  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.

报告人简介：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在匹兹堡大学理学院任助教；1999年在匹兹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年在阿拉巴马汉茨维尔大学任助教；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。在SIAM J. Appl. Math.，SIAM. J. Math. Anal.，J. Differential Equations，Trans. Amer. Math. Soc.，Proc. Roy. Soc. Edinburgh Sect. A，Nonlinearity，J. Math. Biol.，J. Dynam. Differential Equations等国际知名期刊上发表论文30余篇。