| 二维具时滞Hopfield神经网络动力学行为研究 |
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| 引用本文： | 郭淑娟,陈爱清,王元元.二维具时滞Hopfield神经网络动力学行为研究[J].河南师范大学学报(自然科学版),2005,33(4):142-144. |
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| 作者姓名： | 郭淑娟 陈爱清 王元元 |
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| 作者单位： | 江苏工业学院,信息科学系,江苏,常州,213016;焦作师范高等专科学校,数学系,河南,焦作,454100 |
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| 摘 要： | Hopfield神经网络模型是对人脑神经网络的某些机理与机制的抽象,它可以模拟大脑实现联想记忆和优化计算等方面的功能.本文对一类二维具时滞的Hopfield神经网络模型进行了理论分析,给出了系统可能出现的稳定平衡点、周期解以及混沌奇异吸引子的参数选取信息,并在理论分析的基础上进行了数值模拟,用计算机描绘出解曲线图.本结果对人工神经网络的应用提供参数依据.
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| 关 键 词： | Hopfield神经网络 时滞 稳定平衡点 周期 混沌 |
| 文章编号： | 1000-2367(2005)04-0142-03 |
| 收稿时间： | 2005-04-08 |
| 修稿时间： | 2005年4月8日 |
Dynamics for 2D Hopfield Neural Network with Delay |
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| GUO Shu-juan,CHEN Ai-qing,WANG Yuan-yuan.Dynamics for 2D Hopfield Neural Network with Delay[J].Journal of Henan Normal University(Natural Science),2005,33(4):142-144. |
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| Authors: | GUO Shu-juan CHEN Ai-qing WANG Yuan-yuan |
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| Institution: | 1. Department of Informal Science, Jiangsu Polytechnic University, Changzhou 213016, China; 2. Department of Mathematics, Jiaozuo Teachers College, Jiaozuo 454100, China |
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| Abstract: | Hopfield neural networks is the abstraction and imitate of some basic characteristics between person's brain or natural neural networks.The cerebral physiology research's result is the basic of the artificial neural networks,which is as to imitate some mechanism of the person's brain,and to make certain aspect about the function true.This paper gives the theories analyzes of the feedback type neural networks model proceeds in the general 2D,and take the theories analyze as the foundation to go forward a line of the mathematic imitates,giving a stable pole,period solution and the parameters between mentally dense strange attraction sons which may appear out of the system to select information,and make out the picture of the solution with the computer. |
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| Keywords: | Hopfield neural networks delay asymptotic stable equilibriums periodic solution chaos solution |
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