| 无穷远分界线的稳定性和产生极限环的条件 |
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| 引用本文： | 冯贝叶. 无穷远分界线的稳定性和产生极限环的条件[J]. 数学学报, 1995, 38(5): 682-695. DOI: cnki:ISSN:05831431.0.1995-05-015 |
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| 作者姓名： | 冯贝叶 |
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| 作者单位： | 中国科学院应用数学研究所 |
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| 摘 要： | 本文给出了无穷远分界线稳定性的判据以及从无穷远分界线产生极限环的条件，其结果包括了［７］，［８］的主要结果。
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| 关 键 词： | 无穷远分界线，稳定性，极限环，分支 |
| 收稿时间： | 1994-01-19 |
| 修稿时间： | 1994-11-22 |
Stability and Bifurcations of a Separatrix Tending to Infinite |
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| Feng Beiye. Stability and Bifurcations of a Separatrix Tending to Infinite[J]. Acta Mathematica Sinica, 1995, 38(5): 682-695. DOI: cnki:ISSN:05831431.0.1995-05-015 |
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| Authors: | Feng Beiye |
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| Affiliation: | Feng Beiye(Institute of Applied Mathematics,The Chinese A cademy of Sciences,Beijing 100080,China) |
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| Abstract: | This paper gives criterion for determining the stability of a separatrix which tendsto infinite and the conditions for generating limit cycles by bifurcation from the separatrix. Theresults given in this paper include and extend the three respective results already obtained buL. A. erkas,kongrong Zhou and C. A. Holmes in [6],[7],[8]. |
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| Keywords: | separatrix tending to infinite stability limit cycles bifurcation |
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