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ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATICSYSTEMS |
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Citation: |
Ye Weiyin.ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATICSYSTEMS[J].Chinese Annals of Mathematics B,1998,19(3):359~368 |
Page view: 1116
Net amount: 787 |
Authors: |
Ye Weiyin; |
Foundation: |
Project supported by the Natural Science Foundation of
Jiangsu Province Education Commission. |
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Abstract: |
In \S1 and \S3, two conjectures mentioned by Ye Yanqian are
studied. In \S2, by use of elementary methods the author
proves some non-existence theorems of limit cycles (LC, for abbreviation)
for quadratic differential systems obtained recently by H.
Giacomini, J. Llibre and M. Viano. |
Keywords: |
Quadratic differential system, Limit cycle |
Classification: |
34C05 |
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