| 杨启贵.平面自治系统闭轨的存在性[J].数学研究及应用,1997,17(4):547~552 |
| 平面自治系统闭轨的存在性 |
| Existence of Closed Orbits for Autonomous Planar System |
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| DOI：10.3770/j.issn:1000-341X.1997.04.014 |
| 中文关键词: 平面自治系统 闭轨 存在性 |
| 英文关键词:autonomous planar system closed orbit existence. |
| 基金项目: |
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| 摘要点击次数: 2023 |
| 全文下载次数: 1909 |
| 中文摘要: |
| 本文研究一般平面自治系统ｄｘ/ｄｔ＝Ｐ（ｘ，ｙ），ｄｙ/ｄｔ＝Ｑ（ｘ，ｙ）的闭轨的存在性，所得结果不仅较大地推广和改进了已有的结果，而且还可以初步估计闭轨的存在位置． |
| 英文摘要: |
| In this paper, some new sufficient conditions are obtained which ensure that the autonomous planar systemx=P(x,y), y=Q(x,y) has at least one closed orbit. The results improve and extend those in [4-6], and may be used to estimate for roughly the existence place of closed orbit. |
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