ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATICSYSTEMS

Citation:

Ye Weiyin.ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATICSYSTEMS[J].Chinese Annals of Mathematics B,1998,19(3):359~368
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Authors:

Ye Weiyin;

Foundation:

Project supported by the Natural Science Foundation of Jiangsu Province Education Commission.
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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