PHASE-PORTRAIT OF A CERTAIN INTEGRABLE QUADRATIC DIFFERENTIAL SYSTEM WITH CENTER

PHASE-PORTRAIT OF A CERTAIN INTEGRABLE QUADRATIC DIFFERENTIAL SYSTEM WITH CENTER

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摘要 We draw and analyse the phase-portrait of the integrable quadratic differential system (4) below, this result will be used in a latter paper. We draw and analyse the phase-portrait of the integrable quadratic differential system (4) below, this result will be used in a latter paper.

作者叶彦谦

出处《Annals of Differential Equations》 2001年第2期187-190,共4页 微分方程年刊（英文版）

基金 the National Natural Science Foundation of China.

关键词 quadratic differential system CENTER algebraic integral curve quadratic differential system, center, algebraic integral curve

分类号 O175 [理学—基础数学]

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相关文献

1杨利军,刘正荣,伍小明.CLASSIFICATION OF THE PHASE PORTRAIT FOR PLANAR Z_8-EQUIVARIANT HAMILTONIAN SYSTEM OF DEGREE 7[J].Annals of Differential Equations,2001,17(4):385-390.
2张祥.BIFURCATION PROBLEM OF CRITICAL POINTSFOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1997,18(12):0-0.
3HONGXiao-chun.Qualitative analysis of a class of quadratic differential system[J].曲靖师范学院学报,2003,22(6):18-20.
4Xiang ZHANG Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China.On the Limit Cycles of Quadratic Differential Systems[J].Acta Mathematica Sinica,English Series,2002,18(4):803-816.
5索明霞,岳锡亭.THE MAXIMAL NUMBER OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEM = -y + lx^2 + xy, = x(l + ax + by)[J].Annals of Differential Equations,2003,19(3):397-401. 被引量：1
6Li Jinming Cai Suilin (Department of Applied Mathematics,Zhejiang University,Hangzhou 310027,China).Global Analyses of a Class of Cubic Systems[J].Acta Mathematica Sinica,English Series,1997,13(2):207-220. 被引量：3
7韩强,张善元,杨桂通.THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM[J].Applied Mathematics and Mechanics(English Edition),1999,20(8):9-15. 被引量：1
8叶彦谦.ON A CONJECTURE CONCERNING THE NON-EXISTENCE OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Annals of Differential Equations,2000,16(4):391-400. 被引量：6
9张祥.BIFURCATION OF LIMIT CYCLES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (Ⅲ)l = n = 0[J].Acta Mathematicae Applicatae Sinica,1999,15(4):368-373.
10岳锡亭,索明霞.A CLASS OF QUADRATIC DIFFERENTIAL SYSTEM WITH A THIRD ORDER WEAK FOCUS[J].Annals of Differential Equations,2003,19(3):427-430.

Annals of Differential Equations

2001年第2期

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PHASE-PORTRAIT OF A CERTAIN INTEGRABLE QUADRATIC DIFFERENTIAL SYSTEM WITH CENTER

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