| 一类具有1:-4共振奇点的复三次Lotka-Volterra系统的可积性条件 |
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| 引用本文： | 桑波.一类具有1:-4共振奇点的复三次Lotka-Volterra系统的可积性条件[J].数学年刊A辑(中文版),2014,35(6):729-740. |
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| 作者姓名： | 桑波 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252059. |
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| 基金项目： | 数学天元基金(No.11226041) |
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| 摘 要： | 对于一类具有1:-4共振奇点的复三次Lotka-Volterra系统,通过前12阶广义奇点量的计算,给出系统可积的充分条件.这些条件通过构造积分因子或形式积分得以证明.
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| 关 键 词： | 1:-4共振奇点 可积性 积分因子 广义奇点量 形式首次积分 |
Integrability Conditions for a Class of Complex Cubic Lotka-Volterra Systems with a
1:-4 Resonant Singular Point |
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| SANG Bo.Integrability Conditions for a Class of Complex Cubic Lotka-Volterra Systems with a
1:-4 Resonant Singular Point[J].Chinese Annals of Mathematics,2014,35(6):729-740. |
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| Authors: | SANG Bo |
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| Institution: | School of Mathematical Sciences, Liaocheng University,
Liaocheng 252059, Shandong, China. |
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| Abstract: | For a class of complex cubic Lotka-Volterra systems with a $1:-4$ resonant singular point,
some sufficient conditions for integrability are obtained through the computations of the first twelve generalized singular point values.
All these conditions are verified by constructing integrating factors or formal first integrals. |
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| Keywords: | $1:-4$ resonant sigular point Integrability Integrating factor Generalized singular point value Formal first integral |
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