| 一类异宿环分支极限环的唯一性 |
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| 引用本文： | 韩茂安.一类异宿环分支极限环的唯一性[J].数学学报,1997,40(2):246-252. |
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| 作者姓名： | 韩茂安 |
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| 作者单位： | 山东矿业学院数学系 泰安271019 |
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| 基金项目： | 国家教委优秀年轻教师基金，山东省基金 |
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| 摘 要： | 本文研究平面上一类两点或三点异宿环附近极限环的分支,在一简洁条件下证明了异宿环分支极限环的唯一性,并给出了极限环唯一存在的充要条件.作为对三维余维2分支的应用,解决了所出现的两点异宿环产生唯一极限环的问题.
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| 关 键 词： | 异宿环 分支 极限环 |
| 收稿时间： | 1995-9-25 |
| 修稿时间： | 1996-3-11 |
The Uniqueness of Limit Cycles Bifurcated from a Heteroclinic Loop |
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| Han Maoan.The Uniqueness of Limit Cycles Bifurcated from a Heteroclinic Loop[J].Acta Mathematica Sinica,1997,40(2):246-252. |
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| Authors: | Han Maoan |
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| Institution: | Han Maoan (Department of Mathematics, Shandong Mine Institute, Taian 271019, China) |
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| Abstract: | The limit cycle bifurcations near a heteroclinic loop with two or three saddle points are studied. The uniqueness of limit cycles is proved uader a simple condition, and a necessary and sufficient condition for a limit cycle to exist is obtained. As an application to a codimension two bifurcation in a three dimensional system, the problem on the uniqueness of limit cycles near a heteroclinic loop of the deduced plane system is solved. |
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| Keywords: | Heteroclinic loop Bifurcation Limit cycle |
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