报告时间：2014年12月13日上午9:00

报告地点：数学与统计学院106报告厅

报告人：湖南大学 郭上江 教授

报告题目： Bifurcation Theory of Functional Differential Equations

Abstract:In this talk we survey the topic of bifurcation theory of functional differential equations. We begin with a brief discussion of the position of bifurcation and functional differential equations in dynamical systems. We follow with a survey of the state of the art on the bifurcation theory of functional differential equations, including results on Hopf bifurcation, center manifold theory, normal form theory, Lyapunov-Schmidt reduction, and degree theory.

简介：郭上江博士，博导，教授，湖南大学数学与计量经济学院副院长，教育部新世纪优秀人才支持计划项目人选，湖南省首批新世纪121人才工程人选(2005年)。主要从事泛函微分方程的分岔理论研究。曾在加拿大Wilfrid Laurier大学、英国Imperial College数学系、英国Bath大学、加拿大York大学、匈牙利Szeged大学Bolyai研究所等研究机构进行访问和合作研究。主持国家自然科学基金4项、教育部科学技术研究重点项目1项。“神经网络动力学理论与应用研究”获得湖南省科技进步一等奖。出版专著1部，发表论文数十篇，多被SCI检索。

报告人：湖南大学 邹劭芬 副教授

报告题目：Multistability of Integrate-and-Fire Model .

摘要：How to design and compute a network with delayed feedback so that it can exhibit complex but desired dynamical behaviors for some particular cognitive tasks such as memory and pattern recognition. We consider the linkage between neural computation with attractors and the memory storage/retrieval using the additive network of neurons, and discuss the simplicity-capacity dilemma arising from the requirement of both large capacity and easy implementation. We then propose a novel approach based on signal processing delay and show the interaction of delay, feedback and refractoriness in a simple inhibitory network of three neurons can generate mathematically trackable coexisting periodic patterns. Therefore, a simple and small network with delayed feedback can process a large amount of information, and time lag in our biological or artificial neural nets is useful for information processing.