时滞双向联想记忆神经网络模型的稳定性和Hopf分支

Stability and Hopf Bifurcation of BAM Neural Network Model with Delay

考虑具有两个时滞的双向联想记忆神经网络模型,通过对系统在平衡点(0,0)处线性化,再对该线性系统的特征方程的根在复平面上进行分析,进而讨论模型平衡点(0,0)的稳定性与Hopf分岔,并利用Matlab软件包对相应的理论结果通过图形描述进行数值验证.

A bidirectional associative memory neural network model with two delays are examined.By linearizing the system at equilibrium point(0,0),then the roots of the characteristic equation of the linear system are analyzed in the complex plane.And the stability of equilibrium point(0,0)and Hopf bifurcation of the Model are further investigated.Finally,Matlab software package is adopted to verify the corresponding theoretical results through graphic description.