报告人：袁沅（加拿大纽芬兰纪念大学（Memorial University of Newfoundland）数学与统计学院教授、生物数学专家）

报告题目：Nonlinear waves in a delayed BAM neural network

报告摘要：We consider a class of delayed bidirectional associative memory (BAM) neural networks.

Linear stability of the model is investigated by analyzing the associated transcendental

characteristic equation. By means of the symmetric bifurcation theory of delay differential

equations coupled with representation theory of standard dihedral groups, we not only

investigate the effect of synaptic delays of signal transmission on the pattern formation,

but also obtain some important results about the spontaneous bifurcation of multiple

branches of periodic solutions and their spatiotemporal patterns. Based on the normal form

approach and the center manifold theory, we derive the formula to determine the bifurcation

direction and stability of Hopf bifurcated periodic solutions. These theoretical results are

important to complement the experimental and numerical observations made in living

neurons systems and artificial neural networks, in order to better understand the

mechanisms underlying the system’s dynamics.

报告时间：2009年3月27日（星期五上午10-11点）

报告地点：数学系102室