一类二元具时滞的神经网络的周期解 |
| |
引用本文: | 王金华,向红军. 一类二元具时滞的神经网络的周期解[J]. 湘南学院学报, 2003, 24(2): 10-13 |
| |
作者姓名: | 王金华 向红军 |
| |
作者单位: | 郴州师范高等专科学校,数学系,湖南,郴州,423000 |
| |
摘 要: | 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.
|
关 键 词: | 神经网络 周期解 Lyapunov泛函 指数收敛 Dini导数 |
文章编号: | 1008-2042(2003)02-0010-04 |
修稿时间: | 2003-02-18 |
Periodic Solutions of a Neural Network with Delays |
| |
Abstract: | 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+I1(t) dydt=-y(t)-α tanh+I2(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. |
| |
Keywords: | neural networks periodic solution Lyapunov functional converge exponentially dini derivative |
本文献已被 CNKI 万方数据 等数据库收录! |