NON-EXISTENCE OF LIMIT CYCLE AROUND A WEAK FOCUS OF ORDER THREE FOR ANY QUADRATIC SYSTEM

被引：4

作者：

李承治 ^{[1
]}

机构：

[1] Department of MathematicsBeijing University.China

来源：

ChineseAnnalsofMathematics | 1986年 / 02期

关键词：

NON-EXISTENCE OF LIMIT CYCLE AROUND A WEAK FOCUS OF ORDER THREE FOR ANY QUADRATIC SYSTEM;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In 1980 Professor Ye Yangian proposed a conjecture that around a weak focus oforder 3 of any real quadratic differential system there can exist no limit cycle.It is thepurpose of this paper to give a proof of the conjecture by using the method of continuousvariation of a coefficient.

引用

页码：174 / 190

页数：17

共 37 条

[1] STUDY OF NON-EXISTENCE OF LIMIT CYCLE AROUND A WEAK FOCUS OF ORDER TWO OR THREE FOR QUADRATIC SYSTEMS
张平光
ChineseScienceBulletin, 1990, (14) : 1156 - 1161
[2] NONEXISTENCE OF LIMIT-CYCLE AROUND A WEAK FOCUS OF ORDER 3 FOR ANY QUADRATIC SYSTEM
LI, CZ
CHINESE ANNALS OF MATHEMATICS SERIES B, 1986, 7 (02) : 174 - 190
[3] THE NON-EXISTENCE OF LIMIT-CYCLE OF SOME QUADRATIC DIFFERENTIAL SYSTEM
WANG, MS
LIN, YJ
CHINESE ANNALS OF MATHEMATICS SERIES B, 1982, 3 (06): : 721 - 724
[4] The proof of the non-existence of limit cycles for a quadratic differential system
Ye, WY
Ye, YQ
CHINESE ANNALS OF MATHEMATICS SERIES B, 1998, 19 (04) : 445 - 452
[5] THE PROOF OF THE NON-EXISTENCE OF LIMIT CYCLES FOR A QUADRATIC DIFFERETIAL SYSTEM
YE WEIYIN
(Department of Mathematics
ChineseAnnalsofMathematics, 1998, (04) : 445 - 452
[6] Non-existence of limit cycles for a quadratic system in class II
Reyn, JW
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (03) : 323 - 331
[7] STUDY OF NONEXISTENCE OF LIMIT-CYCLE AROUND A WEAK FOCUS OF ORDER 2 OR 3 FOR QUADRATIC SYSTEMS
ZHANG, PG
CHINESE SCIENCE BULLETIN, 1990, 35 (14): : 1156 - 1161
[8] NON－EXISTENCE　OF　SINGULAR　CYCLES　IN　A　QUADRIC　DIFFERENTIAL　SYSTEM　WITH　FINE　FOCUS　OF　ORDER　THREE
LU Gang
LIANG Zhao jun(Department of Mathematics
Systems Science and Mathematical Sciences, 1994, (02) : 133 - 139
[9] On the non-existence of limit cycles of certain quadratic systems
Ye, WY
CHINESE ANNALS OF MATHEMATICS SERIES B, 1998, 19 (03) : 359 - 368
[10] ON THE NON-EXISTENCE OF LIMIT CYCLES OF CERTAIN QUADRATIC SYSTEMS
YE WEIYIN *
ChineseAnnalsofMathematics, 1998, (03) : 112 - 121

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