多时滞环状神经网络的稳定性

Stability of a Ring Neural Network with Delays

本文针对—个带自反馈的多时滞环状神经网络系统,给出了系统平凡解稳定与不稳定的条件,讨论了平凡解对应特征方程在不同参数条件下的正实部根的个数以及正实部根个数随参数变动的变化规律.

A system of ring neural network with self-feedback and multiple delays is considered. Conditions for the stability and unstability of the trivial solution of this system are represented in a parameter space. Under different conditions of parameters, we investigate that the number of eigenvalues with positive real part of the characteristic equation of the trivial solution and how the number changes.