| 一维Theta-神经元网络中的规则单放电行波解的存在性 |
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| 引用本文： | 吴国栋,郝敦元,杨彩琴,姚贵平,马文斌.一维Theta-神经元网络中的规则单放电行波解的存在性[J].内蒙古大学学报(自然科学版),2009,40(5). |
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| 作者姓名： | 吴国栋 郝敦元 杨彩琴 姚贵平 马文斌 |
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| 作者单位： | 1. 内蒙古农业大学理学院,呼和浩特,010018
2. 内蒙古大学数学科学学院,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 讨论了一维theta-神经元网络中规则单放电行波解的存在性.根据神经元细胞激发放电原理对细胞间的相互作用做出单向传递和按距离衰减两点假设.通过控制细胞间的耦合作用时间可得到网络中的规则单放电行波解.
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| 关 键 词： | 神经元网络 theta-神经元 单放电行波 |
Existence of Regular Single-spike Traveling Waves in One-dimesional Network of Theta Neurons |
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| WU Guo-dong,HAO Dun-yuan,YANG Cai-qin,YAO Gui-ping,MA Wen-bin.Existence of Regular Single-spike Traveling Waves in One-dimesional Network of Theta Neurons[J].Acta Scientiarum Naturalium Universitatis Neimongol,2009,40(5). |
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| Authors: | WU Guo-dong HAO Dun-yuan YANG Cai-qin YAO Gui-ping MA Wen-bin |
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| Abstract: | The existence of regular single-spike traveling waves in a one-dimensional theta neurons network was discussed. It was assumed that the reaction among the neurons travel in a single direction and reduce with the increasing distance. Based on the two hypothesis,the existence of the regular single-spike traveling waves was proved by controlling the time period of synaptic coupling among neurons. |
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| Keywords: | neuronal network theta-neuron single-spike traveling wave |
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