一类双延迟神经网络系统的稳定性分析  

Stability Analysis of a Neuron Network System with Two Time Delays

作　　者：王秋宝[1] 

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043

出　　处：《石家庄铁道大学学报（自然科学版）》2010年第3期34-40,共7页Journal of Shijiazhuang Tiedao University(Natural Science Edition)

摘　　要：研究了一类带有两个离散延迟的双神经元的神经网络系统。通过分析相应的特征方程得到了零平衡点稳定和不稳定的一些充分条件。进一步讨论了系统局部Hopf分支的存在性。A neural network model with two neurons and two discrete time delays is discussed. By analyzing the associated characteristic equation, some sufficient conditions for the stability and instability of zero equilibrium are obtained. Moreover, the existence of local Hopf bifurcations for the system is also considered.

关 键 词：神经网络 延迟 HOPF分支 

分 类 号：O241.8[理学—计算数学]