報告題目：Relaxation oscillations in predator-prey systems
報告人：艾尚兵(Shangbing Ai) 教授
報告時間：2021年6月26日（星期六）上午9：00-11：00
報告地點：騰訊會議
會議 ID：957 981 706
Abstract: We study certain classes of predator-prey systems with a small parameter. The systems are fast-slow planar ODE systems. We are interested in the limit cycles of these systems which exhibit relaxation oscillations and approach “singular closed orbits that consists of piecewise smooth curves as the small parameter approaches zero. In this talk, we will talk about some recent results on the existence of single and multiple relaxation oscillations. The existence of such a solution is obtained by finding a singular closed orbit and then constructing a positively or negatively invariant thin annular region near this singular closed orbit and applying the Poincare-Bendixson theorem.
艾尚兵(Shangbing Ai)教授簡介: Shangbing Ai received his B.S and M.S. from the Department of Mathematics at Shandong University in 1984 and 1987 and his Ph.D. in applied mathematics from the University of Pittsburgh in 1999. He did his postdoctoral work in the Center for Dynamical Systems and Nonlinear Studies at the Georgia Institute of Technology from 2000 to 2002. He currently is a professor at the University of Alabama in Huntsville. His research works focus on differential equations and mathematical biology and have been published in the J. Differential Equations, Trans. Amer. Math. Soc., SIAM J. Appl. Math., SIAM. J. Math. Anal., J. Math. Biol., J. Dynamics and Differential Equations, among others.