| A GENERAL PROPERTY OF THE QUADRATIC DIFFERENTIAL SYSTEMS |
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| 引用本文： | Zhu Deming. A GENERAL PROPERTY OF THE QUADRATIC DIFFERENTIAL SYSTEMS[J]. 数学年刊B辑(英文版), 1989, 10(1): 26-32 |
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| 作者姓名： | Zhu Deming |
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| 作者单位： | Department of |
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| 摘 要： | In this paper, it is proved that the quadratic differential systems with a weak saddle of order 2 or 3 have no closed or singular closed orbit. Then by the results of [3], it follows that the greatest order of the homoclinic loop bifurcation of a quadratic differential system is between 2 and 3 It means a homoclinic loop can be split into at most three limit cycles.
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| 收稿时间： | 1986-04-01 |
| 修稿时间： | 1986-04-09 |
A GENERAL PROPERTY OF THE QUADRATIC DIFFERENTIAL SYSTEMS |
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| Zhu Deming. A GENERAL PROPERTY OF THE QUADRATIC DIFFERENTIAL SYSTEMS[J]. Chinese Annals of Mathematics,Series B, 1989, 10(1): 26-32 |
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| Authors: | Zhu Deming |
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| Affiliation: | Department of Mathematics,East China Normal University, Shanghai, China. |
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| Abstract: | In this paper,it is proved that the quadratic differential systems with a weak saddle of order 2 or 3 have no closed or singular closed orbit. Then by the result of [3], it follows that the greatest order of the homoclinic loop bifurcation of a quadratic differential system is between 2 and 3 It means a homoclinic loop can be split into at most three limit cycles. |
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