| 一维Theta神经网络微分方程模型的研究——多放电行波解的存在性 |
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| 引用本文： | 高菲菲,郝敦元.一维Theta神经网络微分方程模型的研究——多放电行波解的存在性[J].内蒙古大学学报(自然科学版),2007,38(4):361-365. |
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| 作者姓名： | 高菲菲 郝敦元 |
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| 作者单位： | 1. 内蒙古大学理工学院数学系,呼和浩特,010021;内蒙古财经学院基础部,呼和浩特,010051
2. 内蒙古大学理工学院数学系,呼和浩特,010021 |
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| 摘 要： | 研究一维theta神经元网络的微分方程模型,对该网络模型从神经元生理运动特点和微分方程本身入手进行讨论.对模型中的输入形式加以简化,证明了对任意的传播速度c＞0,存在一个对应的耦合强度参数,使网络具有多放电行波解.
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| 关 键 词： | theta模型 行波解 突触耦合 打靶法 一维 Theta 神经网络 微分方程模型 研究 放电 行波解 存在性 Neurons Network Differential Equations Modeling Study Traveling Wave Solution 强度参数 耦合 对应 传播速度 简化 输入形式 |
| 文章编号： | 1000-1638（2007）04-0361-05 |
| 修稿时间： | 2006-10-26 |
Study of Modeling Differential Equations in a One-dimensional Network of Theta Neurons——The Existence of Traveling Wave Solution |
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| GAO Fei-fei,HAO Dun-yuan.Study of Modeling Differential Equations in a One-dimensional Network of Theta Neurons——The Existence of Traveling Wave Solution[J].Acta Scientiarum Naturalium Universitatis Neimongol,2007,38(4):361-365. |
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| Authors: | GAO Fei-fei HAO Dun-yuan |
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| Institution: | 1. Department of Mathematics ,College of Sciences and Technology, Inner Mongolia University, Hohhot 010021, China ; 2. Department of Basic Sciences, Inner Mongolia College of Finance and Economics,Hohhot 010051 ,China |
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| Abstract: | The model of differential equations in a one-dimensional network of theta neurons are discussed.The problem is studied from two aspects:the physiological movement characteristics of neurons and the model of differential equations.Setting assumption on the form of input and showing,in a different way,that for any wave speed c>0,there exists a coupling strength constant among neuron cells which make this network has one traveling wave solution. |
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| Keywords: | theta neuron model traveling wave solution synaptic coupling shooting method |
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