| 具有一个高阶奇点和两个零特征根的一类多项式系统 |
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| 引用本文： | 韩玉良.具有一个高阶奇点和两个零特征根的一类多项式系统[J].高校应用数学学报(A辑),1996(3):269-276. |
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| 作者姓名： | 韩玉良 |
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| 作者单位： | 中国煤炭经济学院 |
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| 摘 要： | 本文讨论了具有一个高阶奇点和两个零特征根的一类２ｎ＋１次系统，证明了这类系统可以存在两个ｎ阶细焦点，给出极限存在性和不存在性的条件，并证明了无穷远分界线环的存在性。
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| 关 键 词： | 多项式系统 奇点 极限环 分界线环 零特征根 |
A CLASS OF POLYNOMIAL SYSTEM WITH A HIGHER ORDER SINGULAR POINT AND TWO ZERO EIGENVALUES |
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| Han Yuliang.A CLASS OF POLYNOMIAL SYSTEM WITH A HIGHER ORDER SINGULAR POINT AND TWO ZERO EIGENVALUES[J].Applied Mathematics A Journal of Chinese Universities,1996(3):269-276. |
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| Authors: | Han Yuliang |
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| Abstract: | In this paper, we study a class of polynomial systems of degree 2n+1 on the plane with a higher order singular point and two zero eigenvalues and show that such a system may have two n th order fine focus. We also give the condition of existence or non existence of limit cycle, and prove the existence of the separatrix cycle at infinity. |
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| Keywords: | Polynomial System Higher Order Singular Point Fine Focus Limit Cycle Separatrix Cycle |
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