| 平面系统的椭圆扇形 |
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| 引用本文： | 丁昌明.平面系统的椭圆扇形[J].杭州师范学院学报(自然科学版),1998(6). |
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| 作者姓名： | 丁昌明 |
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| 摘 要： | 本文讨论了平面系统存在同缩轨的条件，给出了平面系统至多存在一个最大椭圆扇形的充分条件，同时得到Ｌｉｅｎａｒｄ系统至多存在一个最大椭圆扇形．
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| 关 键 词： | 流，极限集，同缩轨，椭圆扇形 |
ON ELLIPTIC SECTORS OF PLANAR SYSTEMS |
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| Ding Changming.ON ELLIPTIC SECTORS OF PLANAR SYSTEMS[J].Journal of Hangzhou Teachers College(Natural Science),1998(6). |
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| Authors: | Ding Changming |
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| Institution: | Department of Mathematics |
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| Abstract: | In this note we discuss the conditions of the existance of homoclinic orbits for planar systems,and derive the sufficient conditions that there exists at most one maximal elliptic sector.Meanwhile we conclude that the Lienard system has at most one maximal elliptic sector. |
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| Keywords: | flow limit set homoclinic orbit elliptic sector |
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