| 一类二元时滞神经网络模型同步解的收敛性 |
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| 引用本文： | 郭美珍,卢金平. 一类二元时滞神经网络模型同步解的收敛性[J]. 河南科学, 2008, 26(12) |
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| 作者姓名： | 郭美珍 卢金平 |
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| 作者单位： | 1. 湖南科技学院,计算机系,湖南,永州,425100
2. 湖南大学,数学与计量经济学院,长沙,410082 |
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| 基金项目： | 国家973项目，湖南省教育厅一般资助项目，湖南科技学院课题 |
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| 摘 要： | 对一类二元时滞神经网络模型的同步解进行定性研究,主要是针对网络参数的不同取值,分步地求解一个在一定初始函数空间中给定初始值的泛函微分方程,再讨论模型同步解的收敛性.我们的分析表明网络参数在神经网络模型研究中具有极其重要的作用.
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| 关 键 词： | 神经网络 同步解 时滞 收敛性 |
Convergence of Synchronized Solutions of a Class of Two-Neuron Delayed Neural Network Model |
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| Guo Meizhen,Lu Jinping. Convergence of Synchronized Solutions of a Class of Two-Neuron Delayed Neural Network Model[J]. Henan Science, 2008, 26(12) |
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| Authors: | Guo Meizhen Lu Jinping |
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| Affiliation: | Guo Meizhen1,Lu Jinping2(1. Department of Computer Science,Hunan University of Science , Engineering,Yongzhou 425100,Hunan China,2. College of Mathematics , Econometrics,Hunan University,Changsha 410082,China) |
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| Abstract: | This paper qualitatively discusses synchronized solutions of a class of two-neuron delayed neural network model. First,we solve a functional differential equation with a given initial value in a certain initial function space by means of the step method,according to some different values of the network parameters. Then,we study convergence of the synchronized solutions of the model. Our analysis shows that the network parameters play vital roles in research of the neural network model. |
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| Keywords: | neural network synchronized solution delay convergence |
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