具有时滞的Hopfield型神经网络的平稳周期振荡

On the Existence and Stability of Periodic Solutions for Hopfield Neural Network Equations With Delay

研究一类具有周期输入的时滞Hopfield型神经网络 ui(t)=-biui(t)+∑nj=1Tij(t)f(u(t-τ))+Ii(t)的周期振荡,利用重合度和V_泛函的方法,得到了该网络存在唯一稳定周期振荡的条件·

Sufficient conditions are obtained for the existence, uniqueness and stability of T_periodic solutions for the Hopfield neural network equations with delay  i(t)=-b iu i(t)+∑nj=1T ij (t)f(u(t-τ))+I i(t).