On the Limit Cycles of Quadratic Differential Systems

被引：0

作者：

Xiang ZHANG Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 2002年 / 18卷 / 04期

关键词：

Quadratic differential system; Limit cycle; Ergodicity;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper we give the necessary and sufficient conditions for all finite critical points ofquadratic differential systems to be weak foci, and solve an open problem proposed by Yanqian Ye.

引用

页码：803 / 816

页数：14

共 50 条

[41] Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
Cen, Xiuli
Liu, Changjian
Yang, Lijun
Zhang, Meirong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (12) : 6083 - 6126
[42] The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems
Llibre, Jaume
Zhang, Xiang
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 149 (01) : 1 - 14
[43] SEPARATRIX CYCLES AND MULTIPLE LIMIT-CYCLES IN A CLASS OF QUADRATIC SYSTEMS
ZEGELING, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 113 (02) : 355 - 380
[44] THE VARIATION OF INVARIANT LINES AND LIMIT CYCLES FOR A QUADRATIC DIFFERENTIAL SYSTEM
叶惟寅
[J]. Annals of Applied Mathematics, 1998, (02) : 286 - 293
[45] Algebraic limit cycles of degree 4 for quadratic systems
Chavarriga, J
Llibre, J
Sorolla, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 200 (02) : 206 - 244
[46] Bifurcations of limit cycles from infinity in quadratic systems
Gavrilov, L
Iliev, ID
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2002, 54 (05): : 1038 - 1064
[47] ON THE RELATIVE POSITION OF LIMIT CYCLES OF A REAL QUADRATIC DIFFERENTIAL SYSTEM
叶彦谦
[J]. Chinese Annals of Mathematics, 1990, (01) : 74 - 83
[48] LIMIT-CYCLES OF PLANAR QUADRATIC DIFFERENTIAL-EQUATIONS
KODITSCHEK, DE
NARENDRA, KS
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 54 (02) : 181 - 195
[49] A criterion for the existence of four limit cycles in quadratic systems
Leonov, G. A.
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2010, 74 (02): : 135 - 143
[50] STRUCTURALLY STABLE QUADRATIC SYSTEMS WITHOUT LIMIT CYCLES
Robert E.Kooij & Wim T.van Horssen(Delft University of Technology
[J]. Annals of Applied Mathematics, 1994, (03) : 259 - 274

← 1 2 3 4 5 →