| 具有二阶细焦点的二次系统极限环的唯一性 |
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| 引用本文： | 陈文成.具有二阶细焦点的二次系统极限环的唯一性[J].系统科学与数学,1991,11(3):217-226. |
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| 作者姓名： | 陈文成 |
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| 作者单位： | 山东矿业学院 泰安271019
(陈文成)，浙江大学 杭州310027(张平光) |
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| 摘 要： | 人们猜想,平面二次系统二阶细焦点外围至多存在一个极限环,但迄今未能证实.文1,2]在某些参数取特定值之下证明了这一猜想.最近文5]在具有零特征根奇点之下也证明了这一猜想.本文则在较一般的情况下证明了这一猜想,并使文5]的结果成为本文的特例.此外,本文还给出了若干有环无环的条件.
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ON THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM WITH A WEAK FOCUS OF ORDER 2 |
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| CHEN WEN-CHENG,ZHANG PIN-GUANG.ON THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM WITH A WEAK FOCUS OF ORDER 2[J].Journal of Systems Science and Mathematical Sciences,1991,11(3):217-226. |
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| Authors: | CHEN WEN-CHENG ZHANG PIN-GUANG |
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| Institution: | (1)Shandon Mining Institute,Taian 271019;(2)Zhejiang University,Hangzhou 310027 |
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| Abstract: | This paper,under fairly general conditions,it is proved that a quadratic system with afocus of order 2 has at most one limit cycle around the weak focus.As a consequence,all theresults of 5] can be deduced from this paper. |
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