| 微分自治系统高次奇点的重次 |
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| 引用本文： | 刘一戎.微分自治系统高次奇点的重次[J].中南大学学报(自然科学版),1999(3). |
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| 作者姓名： | 刘一戎 |
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| 作者单位： | 中南工业大学应用数学与应用软件系 |
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| 摘 要： | 对二阶微分自治系统定义了高次奇点的重次，讨论了多重奇点的分解与合并以及奇点的重次与指数之间的关系，并证明了闭轨内部奇点的重次之和为奇数
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| 关 键 词： | 微分系统 高次奇点 重次 |
MULTIPLICITY OF HIGHER ORDER SINGULAR POINT OF DIFFERENTIAL AUTONOMOUS SYSTEM |
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| Liu Yirong.MULTIPLICITY OF HIGHER ORDER SINGULAR POINT OF DIFFERENTIAL AUTONOMOUS SYSTEM[J].Journal of Central South University:Science and Technology,1999(3). |
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| Authors: | Liu Yirong |
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| Abstract: | In this paper, for second order differential autonomous system, the multiplicity of higher order singular point is defined, the decomposition and amalgamation on multiple singular point is discussed, and the relation between multiplicity and index of multiple singular point is discovered. It is proved that the sum of multiplicity of all singular points in the interior of a closed orbit is an odd. |
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| Keywords: | differential system higher order singular point multiplicity |
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