On the non-existence of limit cycles of certain quadratic systems

被引：0

作者：

Ye, WY ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210024, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1998年 / 19卷 / 03期

关键词：

quadratic differential system; limit cycle;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 differential systems obtained recently by H. Giacomini, J. Llibre and M. Viano.

引用

页码：359 / 368

页数：10

共 9 条

[1] On the nonexistence, existence and uniqueness of limit cycles [J].

Giacomini, H ;

Llibre, J ;

Viano, M .

NONLINEARITY, 1996, 9 (02) :501-516

[2]

Ye YQ, 1997, CHINESE ANN MATH B, V18, P315

[3]

Ye YQ, 1996, CHINESE ANN MATH B, V17, P167

[4]

YE YQ, 1993, CHINESE ANN MATH B, V14, P427

[5]

YE YQ, 1993, PROBLEMS CONJECTURES

[6]

YE YQ, 1997, ANN DIFF EQS, V13, P395

[7]

YE YQ, 1986, T MATH MONOGRAPHE AM, V66

[8]

YE YQ, 1993, P C DYN SYST YEAR NA, V4, P278

[9]

YE YQ, 1993, INT C DIFF EQS BARC, P983

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