| 相平面分析中的若干数学问题 |
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| 引用本文： | 马亦林,俞有瑛.相平面分析中的若干数学问题[J].华北电力大学学报,1994(1). |
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| 作者姓名： | 马亦林 俞有瑛 |
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| 作者单位： | 华北电力学院北京研究生部 |
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| 摘 要： | 对线性二阶自治系统的奇点分类，特别是对于几种退化情况和特征值为共轭复数的非规范型情况的详尽数学分析，在有关书籍中尚未见到过．本文提供的详尽分析结果可应用于相平面法中非线性二阶自治系统奇点类型及其附近轨线特征的分析，对有关工程技术人员有一定参考价值．
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| 关 键 词： | 相平面法，奇点，退化情况 |
SOME MAMTHEMATIC PROBLEMS IN PHASE-PLANE ANALYSIS |
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| Ma Yilin, Yu YouYing.SOME MAMTHEMATIC PROBLEMS IN PHASE-PLANE ANALYSIS[J].Journal of North China Electric Power University,1994(1). |
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| Authors: | Ma Yilin Yu YouYing |
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| Affiliation: | Ma Yilin; Yu YouYing |
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| Abstract: | This paper presents an exhaustive study of the singular points classification of linear second order autonomous systems. Some mathematical aspects among the degenerate case and arbitrary form of equation with complex eigenvalues are discussed in de tail, which are not seem up to now in relevant references. The presented thorough results can be applied to phase-plane technique for nonlinear systems and may have reference value for related technical personals. |
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| Keywords: | phase-plane technique singular point degenerate case |
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