| 具有一个细焦点和一个粗焦点的二次系统极限环的个数 |
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| 引用本文： | 张平光,赵申琪.具有一个细焦点和一个粗焦点的二次系统极限环的个数[J].高校应用数学学报(英文版),2001,16(2):127-132. |
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| 作者姓名： | 张平光 赵申琪 |
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| 作者单位： | Zhang Pingguang Zhao ShenqiDept.ofMath.ZhejiangUniv.，Hangzhou310027. |
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| 摘 要： | Abstract. It is proved that the quadratic system with a weak focus and a strong focus has atmost one limit cycle around the strong focus, and as the weak focus is a 2nd -order (or 3rd-order ) weak focus the quadratic system has at most two (one) limit cycles which have (1,1)-distribution ((0,1)-distribution).
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| 关 键 词： | 细焦点 粗焦点 极限环境 二次系统 有限环 |
| 收稿时间： | 11 September 2000 |
On number of limit cycles for the quadratic systems with a weak focus and a strong focus |
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| Zhang Pingguang,Zhao Shenqi.On number of limit cycles for the quadratic systems with a weak focus and a strong focus[J].Applied Mathematics A Journal of Chinese Universities,2001,16(2):127-132. |
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| Authors: | Zhang Pingguang Zhao Shenqi |
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| Institution: | (1) Dept. of Math. Zhejiang Univ., 310027 Hangzhou |
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| Abstract: | It is proved that the quadratic system with a weak focus and a strong focus has at most one limit cycle around the strong focus, and as the weak focus is a 2nd order(or 3rd order) weak focus the quadratic system has at most two(one) limit cycles which have (1,1) distribution ((0,1) distribution). |
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| Keywords: | Quadratic differential system number of limit cycle weak focus strong focus |
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