報告題目：Stability, Bifurcation and Pattern Formation in a Ring Network with Delay

內容簡介：After introducing some background about dynamical system, neural network and delay differential equation, we consider a ring neural network of identical elements with time delayed, nearest neighbor coupling. We give some global and local stability results and show how the presence of time delay allows for mode interactions leading to the coexistence of different oscillation patterns. The Hopf and equivariant Hopf bifurcations are analyzed. Regarding the coupling strengths as bifurcation parameters, we obtain codimension one bifurcation and the interaction of each critical bifurcations. Concrete formulae for the normal form coefficients are derived via the center manifold reduction that provide detailed information about the bifurcation and stability of various bifurcated solutions.

报 告 人：加拿大纽芬兰纪念大学 袁源 教授

袁源教授的研究領域爲微分方程與動力系統的理論及應用。袁源教授是該領域內國際上最活躍的年輕學者之一，在泛函微分方程分支理論和規範性的算法方面取得了一批國際同行公認的好結果。

時???間：2009年3月4日15:30-16:30

地???點：理學院3樓會議室