一类二元具时滞的神经网络的周期解

Periodic Solutions of a Neural Network with Delays

本文通过构造适当的Lyapunov泛函和一些分析技巧研究如下二元神经网络dxdt=-x(t)-αtanh[y(t)-by(t-σ)]+I1(t)dydt=-y(t)-αtanh[x(t)-bx(t-τ)]+I2(t)的周期解,获得了该网络存在唯一周期解的充分条件且证明了所有其他解都指数收敛于此周期解.

In this paper, by constructing Liapunov functional and some analysis techniques, we study the periodic solutions of a neural network as follows: dxdt=-x(t)-α tanh+I1(t) dydt=-y(t)-α tanh+I2(t) and obtain some sufficient conditions to ensure the network exist a unique periodic solution, and its all solutions converge exponentially to the periodic solution.