| Huxley方程行波系统无穷远奇点 |
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| 引用本文： | 李向正,吉星. Huxley方程行波系统无穷远奇点[J]. 河南科技大学学报(自然科学版), 2012, 0(1): 81-83,9 |
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| 作者姓名： | 李向正 吉星 |
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| 作者单位： | 河南科技大学数学与统计学院;河南大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金项目(10871129);河南省教育厅自然科学研究计划项目(2011B110013);河南科技大学科研创新能力培育基金项目(2010CZ0016) |
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| 摘 要： | 作为一种特殊的神经元模型,Huxley方程具有重要的研究价值。Huxley方程行波系统的无穷远奇点是高阶奇点中的不定号情形,以往对这种情形的处理不够简洁。本文提出了一种新的处理方法,以简洁的方式获得了该行波系统无穷远奇点的定性结构,这一方法还可用于其他系统。
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| 关 键 词： | Huxley方程 行波系统 无穷远奇点 高阶奇点 |
Infinite Singular Point of Traveling Wave System of Huxley Equation |
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| LI Xiang-Zheng,JI Xing. Infinite Singular Point of Traveling Wave System of Huxley Equation[J]. Journal of Henan University of Science & Technology:Natural Science, 2012, 0(1): 81-83,9 |
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| Authors: | LI Xiang-Zheng JI Xing |
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| Affiliation: | 1.Mathematics & Statistics School,Henan University of Science & Technology, Luoyang 471003,China;2.School of Mathematics & Information Sciences,Henan University,Kaifeng 475001, China) |
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| Abstract: | As a special nerve model,Huxley equation has important research value.The infinite singular point of traveling wave system of Huxley equation is a higher order singular point in the case of undetermined signs, whose handling situation was not simple enough in the past.A new method was proposed in this paper to find the qualitative structure of infinite singular point of such traveling wave system in a concise way.This method can also be used for some other systems. |
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| Keywords: | Huxley equation Traveling wave system Infinite singular point Higher order singular point |
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