| 平面自治系统同宿轨族的存在唯一性 |
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| 引用本文： | 杨启贵.平面自治系统同宿轨族的存在唯一性[J].系统科学与数学,2001,21(1):039-046. |
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| 作者姓名： | 杨启贵 |
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| 作者单位： | 广西师范大学数学与计算机科学学院, |
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| 基金项目： | 广西自然科学基金资助课题 |
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| 摘 要： | 本文研究一般平面自治系统
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| 关 键 词： | 平面自治系统 同宿轨 存在性. |
| 修稿时间： | 1998年1月6日 |
EXISTENCE AND UNIQUENESS OF THE FAMILY HOMOCLINICS FOR AUTONOMOUS PLANAR SYSTEM |
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| Yang Qigui.EXISTENCE AND UNIQUENESS OF THE FAMILY HOMOCLINICS FOR AUTONOMOUS PLANAR SYSTEM[J].Journal of Systems Science and Mathematical Sciences,2001,21(1):039-046. |
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| Authors: | Yang Qigui |
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| Institution: | College of Mathematics and Computer Science, Guangxi Normal University, Guilin 541004,P.R.China;Department of Mathematics, Zhongshan University, Guangzhou 510275,P.R.China |
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| Abstract: | In this paper, we discuss some qualitative behavior of the solution of autonomous planar system (E) there exists at most one maximal elliptic sector. We also obtain some sufficient or necessary conditions for the trajectories of (E) tending to the singular point and for the existence of the family of homoclincs. Some necessary and sufficient conditions for the system: are also given. |
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| Keywords: | Autonomous planar system homoclinic existence |
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