| 具有细链双曲无穷远鞍点的二次系统 |
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| 引用本文： | 张平光.具有细链双曲无穷远鞍点的二次系统[J].数学学报,1999,42(1):175-180. |
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| 作者姓名： | 张平光 |
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| 作者单位： | 浙江大学数学系,杭州,310027 |
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| 基金项目： | 国家自然科学基金!19671071 |
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| 摘 要： | 本文得到：具有细链双曲无穷远鞍点和一个细焦点的二次系统至多存在一个极限环，若有细无穷远分界线环S，则其内部不存在极限环，其稳定性与它包围的奇点的稳定性相反．
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| 关 键 词： | 二次系统 无穷远双曲鞍点 极限环 分界线环 |
| 修稿时间： | :1997-07-0 |
Quadrati Systems with Weak Pairing Infinitehyperbolic Saddles |
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| Zhang Pingguang.Quadrati Systems with Weak Pairing Infinitehyperbolic Saddles[J].Acta Mathematica Sinica,1999,42(1):175-180. |
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| Authors: | Zhang Pingguang |
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| Institution: | Zhang Pingguang(Department of Mathematics, Zhejang University, Hangzhou 310027, P. R. China) |
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| Abstract: | In this paper, we prove that a quadratic system with a weak focus and weak pairing infinitehyperbolic saddles has at most one limit cycle, and that if this system has a weak infinite homoclinic loop, then its stability is contrary to that of the singular point surrounded by it, and this system has no limit cycle in the region formed by it. |
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| Keywords: | Quadratic system Infinitehyperbolic saddle Limit cycle Homoclinic loop |
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