| ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATIC SYSTEMS |
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| 作者姓名： | Ye Weiyin |
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| 摘 要： | §１．Ｆｏｒｔｈｅｓｙｓｔｅｍｘ＝－ｙ＋δｘ＋ｌｘ２＋ｎｙ２＝Ｐ（ｘ，ｙ），ｙ＝ｘ（１＋ａｘ－ｙ）＝Ｑ（ｘ，ｙ），｛（１．１）ｗｅｃａｎｆｉｎｄｉｎ［１］ｔｈｅｆｏｌｏｗｉｎｇ：ＣｏｎｊｅｃｔｕｒｅＩ．Ａｓｓｕｍｅ１ａ＜０，ｎ＞１，ｎ＋ｌ＞０，ｎａ２...
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| 关 键 词： | 二次偏微分 有限循环 反鞍 负根 |
| 收稿时间： | 9/7/1995 12:00:00 AM |
| 修稿时间： | 1996/3/23 0:00:00 |
ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATIC
SYSTEMS |
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| Ye Weiyin.ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,1998,19(3):359-368. |
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| Authors: | Ye Weiyin |
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| Institution: | YE WEIYIN * |
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| Abstract: | In §1 and §3, two conjectures mentioned by Ye Yanqian are studied, In §2, by use of elementary methods the author proves some non-existence theorems of limit cycles (LC, for abbreviation) for quadratic differentied systems obtained recently by H. Giacomlni, J. Llibre and M. Viano. |
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| Keywords: | Quadratic differential system Limit cycle |
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