| 平面二次系统不存在三次代数曲线鞍结分界线环 |
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| 引用本文： | 刘正荣,何爱军.平面二次系统不存在三次代数曲线鞍结分界线环[J].云南大学学报(自然科学版),1990(1). |
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| 作者姓名： | 刘正荣 何爱军 |
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| 作者单位： | 云南大学
(刘正荣)，北方工业大学(何爱军) |
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| 摘 要： | 本文证明了平面二次系统不存在三次代数曲线鞍结分界线环,从而纠正了沈伯骞氏断言在三次代数同宿轨上有鞍结点的错误.
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| 关 键 词： | 焦点 结点 代数曲线 解 |
Non-existence of the Cubic Algebraical Saddle-node Separatrix-loop in the Planar Quadratic System |
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| Liu Zhenrong.Non-existence of the Cubic Algebraical Saddle-node Separatrix-loop in the Planar Quadratic System[J].Journal of Yunnan University(Natural Sciences),1990(1). |
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| Authors: | Liu Zhenrong |
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| Abstract: | In this paper, we show that for the planar quadratic system, it has no the cubic algebraical saddle-node separatrix-loop. This conclusion corrects a mistaken result of Ref. 1], in which the author asserts that there existsa saddle-node point in a cubic algebraical homoclinic orbit. |
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| Keywords: | foci connection algebraical curve solutions |
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