| 关于Huxley方程高阶奇点的定性分析 |
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| 引用本文： | 刘启宽,陈冲,吕海炜. 关于Huxley方程高阶奇点的定性分析[J]. 四川理工学院学报(自然科学版), 2009, 22(4): 15-19 |
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| 作者姓名： | 刘启宽 陈冲 吕海炜 |
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| 作者单位： | 成都信息工程学院数学学院,成都,610225;成都信息工程学院数学学院,成都,610225;成都信息工程学院数学学院,成都,610225 |
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| 基金项目： | 成都信息工程学院自然科学与技术发展基金项目资助 |
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| 摘 要： | Huxley方程在y轴两个方向上的无穷远点为不定号情况下的高阶奇点,利用水平等倾线与垂直等倾线构成的曲边扇形域来研究该类奇点轨线的定性结构,得到了y轴两个方向上的无穷远点有无数条积分曲线进入或走出的结论。
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| 关 键 词： | Huxley方程 等倾线 角域 |
Qualitative Analysis About the Singualar Point of Huxley Equation''s High Order |
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| LIU Qi-kuan,CHEN Chong,LV Hai-wei. Qualitative Analysis About the Singualar Point of Huxley Equation''s High Order[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2009, 22(4): 15-19 |
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| Authors: | LIU Qi-kuan CHEN Chong LV Hai-wei |
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| Affiliation: | Dept.of Math.;Chengdu University of Information Technology;Chengdu 610225;China |
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| Abstract: | In this paper,having known point at infinity along y-axis' couple of directions that is the singular point of Huxley equation's high order in the case of undetermined signs,we study the qualitative behavior of trajectories near the singular point,by means of curved sectors which is constructed with level and vertical isoclines.In addition,we obtain a conclusion that numerous integral curves enter or go out at the singular point along y-axis. |
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| Keywords: | Huxley equation isoclines angular domain |
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