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The entry-exit function and relaxation oscillations in slow-fast systems

發布者:文明辦發布時間:2019-06-21瀏覽次數:242


主講人:Professor Shangbing Ai,University of Alabama


時間:2019年6月24日16:00


地點:徐匯校區三號樓332


舉辦單位:數理學院


主講人介紹:艾尚兵,分別于1984、1987年在山東大學獲得數學系本科、碩士學位,1987-1993年留山東大學工作;1993-1997年在匹茲堡大學理學院任研究生助理;1998-2000在匹茲堡大學理學院任助教;1999年在匹茲堡大學獲得博士學位;2000-2002年在佐治亞理工學院動力系統與非線性研究中心做博士后;  2002年在阿拉巴馬漢茨維爾大學任助教;2008年任副教授。艾尚兵教授是微分方程、動力學系統及其應用等領域的國際知名專家。主要從事微分方程,動力系統,泛函微分方程,時滯差分方程問題。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等國際知名期刊上發表論文30余篇。


內容介紹:The entry-exit function for the phenomenon of delay of stability loss arising in  some slow-fast planar systems plays a key role in establishing the existence of  limit cycles that exhibit relaxation e oscillations. In this talk, we discuss an  elementary approach to study the entry-exit function and its applications to two  broad classes of predator-prey models on the existence of single and multiple  relaxation oscillations. An application to the existence of periodic traveling  wave solutions for a diffusive predator-prey model will also be presented.

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