| 关于细鞍点与细焦点的一般变换 |
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| 引用本文： | 封汉颍.关于细鞍点与细焦点的一般变换[J].军械工程学院学报,1996(2). |
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| 作者姓名： | 封汉颍 |
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| 作者单位： | 军械工程学院数学教研室 石家庄 |
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| 摘 要： | 各种变换在平面多项式系统的定性研究中是非常重要的。通过对鞍点量和焦点量计算时常用的变换进行研究,得到了两类把细鞍点化为细焦点的一般变换,并利用其中的一类推导出了不含二次项的三次系统的鞍点量和可积条件。
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| 关 键 词： | 细鞍点 细焦点 变换 鞍点量 可积条件 |
ON THE GENERAL TRANSFORMATIONS FOR WEAK SADDLES AND WEAK FOCUSES |
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| Feng Hanying.ON THE GENERAL TRANSFORMATIONS FOR WEAK SADDLES AND WEAK FOCUSES[J].Journal of Ordnance Engineering College,1996(2). |
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| Authors: | Feng Hanying |
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| Institution: | Teaching and Research Section of Maths |
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| Abstract: | Transformations are very important in qualitative study of plane polynomial system. This paper studies transformations used for calculating saddle values and focus values, and obtains two classes of general transformation which change weak saddles into weak focuses. Applying one of the dasses of general transformation, the author derives the formulae of saddle values and the integrabk conditions for a dass of cubic systems. |
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| Keywords: | weak saddle weak focus transformation saddle value integrable condition |
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