澳门新葡新京

【1月9日】Travelling pulses in a coupled FitzHugh-Nagumo equation

2019-12-27

时间:2020年1月9日 13:00-

地点:澳门新葡新京454

主讲人:张祥 教授

使用语言:英文

主讲人简介:

张祥,上海交通大学特聘教授(博士生导师、二级教授、享受国务院特殊津贴专家),欧洲科学与艺术院院士。曾获教育部新世纪优秀人才、上海市曙光学者和上海市浦江学者。 主要从事动力系统的定性、分支和可积理论的研究。所得结果部分解决了动力系统领域长期遗留的困难的公开问题和猜想,主要结果发表在American J. Math., Comm. Math. Phys., J. Functional Analysis, J. Nonlinear Sciences 和J. Differential Equations等国际一流数学杂志上。 目前担任中国数学会奇异摄动专业委员会主任、中国数学会理事,以及两个国际SCI杂志Qualitative Theory of Dynamical Systems和International J. Bifurcation and Chaos的Associate编委等。

活动内容摘要:

We introduce our recent results on travelling pulse of a coupled FitzHugh-Nagumo (FHN) equation with a parameter  in [0, 1].  When the parameter is in  (0, 1/2),the existence of travelling pulses of this equation was proved in 2013. Here we adopt a new approach to obtain the existence of the travelling pulse of the same equation for the parameter in [0, 1/2), which includes the degenerate case 0, where we also show that the pulse does not exhibit a oscillatory tail at the homoclinic orbit when the time goes to infinity, whereas the classical FHN equation could have a oscillatory tail of the traveling pulse depending on the choice of the parameters of the system. Finally we present an explanation on why travelling pulses cannot exist when the parameter in [1/2, 1].

主持人:谢峰

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