| 广义时滞Hopfield型神经网络系统的平稳周期振荡 |
| |
| 引用本文： | 曹显兵,熊令纯.广义时滞Hopfield型神经网络系统的平稳周期振荡[J].数学的实践与认识,2002,32(2):275-280. |
| |
| 作者姓名： | 曹显兵 熊令纯 |
| |
| 作者单位： | 中国科学院数学与系统科学研究院系统科学所,北京,100080,长沙电力学院数学与计算机系,长沙,410077 |
| |
| 摘 要： | 本文利用重合度理论和 V-泛函研究了一类具有周期输入的广义时滞 Hopfield型连续神经网络系统的平稳周期振荡问题 ,得到了其周期解存在、唯一和全局吸引的充分条件 .
|
| 关 键 词： | 时滞Hopfield网络 周期解 稳定性 |
| 修稿时间： | 2001年9月28日 |
On the Existence of Periodic Solutions for Hopfield Neural Network Equations with Periodic Input |
| |
| CAO Xian-bing,XIONG Ling-qun.On the Existence of Periodic Solutions for Hopfield Neural Network Equations with Periodic Input[J].Mathematics in Practice and Theory,2002,32(2):275-280. |
| |
| Authors: | CAO Xian-bing XIONG Ling-qun |
| |
| Abstract: | In this paper, we study the existence and stability of ω-periodic solutions for the Hopfield neural network equations with periodic input=-gradF(x)+T(t)h(x(t-τ))+I(t)(2)where x=(x 1,x 2,...,x n) T∈R n, F(x)∈C(R n,R),T(t)=(T ij (t)) n×n ∈C(R,R n 2 ), h(x(t-τ))=(h 1(x 1(t-τ)),h 2(x-2(t-τ)),...,h n(x-n(t-τ))) T∈CR+n,R+n), I(t)=(I 1(t),I-2(t),...,I-n(t)) T∈C(R,R n),T(t) and I(t) are periodic function of period ω, sufficient conditions are obtained for the existence and stability of ω periodic solutions. |
| |
| Keywords: | delay hopfield neural network periodic solution stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
