| 一类异宿环分支问题中极限环的唯一性 |
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| 引用本文： | 韩茂安.一类异宿环分支问题中极限环的唯一性[J].高校应用数学学报(A辑),1999,14(4):421-426. |
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| 作者姓名： | 韩茂安 |
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| 作者单位： | 上海交通大学应用数学系,200030 |
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| 摘 要： | 在具余维２奇点的四维系统的两参数开折的研究中出现一类三点异宿环的扰动分支，对此异宿环产生极限环的唯一性一直未得到完整的解决，本文圆满地解决了这一问题，并获得了全局分支中极限环的唯一性。
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| 关 键 词： | 异宿环 分支 极限环 唯一性 |
ON THE UNIQUENESS OF LIMIT CYCLES IN A HETEROCLINIC BIFURCATION |
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| Han Maoan.ON THE UNIQUENESS OF LIMIT CYCLES IN A HETEROCLINIC BIFURCATION[J].Applied Mathematics A Journal of Chinese Universities,1999,14(4):421-426. |
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| Authors: | Han Maoan |
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| Abstract: | In the study of 2\|parameter unfoldings of a 4\|dimensional system with 2 singularities one needs to investigate limit cycle bifurcations near a heteroclinic cycle with 3 vertices.The uniqueness of limit cycles has not been solved completely up to now.This problem is solved in the present paper,and the uniqueness of limit cycles is proved in the global bifurcation as well. |
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| Keywords: | Heteroclinic Bifurcation Limit Cycle Uniqueness |
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