THE MAXIMAL NUMBER OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEM = -y + lx^2 + xy, = x(l + ax + by) 被引量：1

THE MAXIMAL NUMBER OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEM = -y + lx^2 + xy, = x(l + ax + by)

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摘要 In this paper, we investigate the maximal number of limit cycles surrounding a first order weak focus for the quadratic differential system. And proved such a system has at most two limit cycles under some certain conditions. In this paper, we investigate the maximal number of limit cycles surrounding a first order weak focus for the quadratic differential system. And proved such a system has at most two limit cycles under some certain conditions.

作者索明霞岳锡亭

机构地区 Dept. of Math. School of Basic Sciences

出处《Annals of Differential Equations》 2003年第3期397-401,共5页 微分方程年刊（英文版）

关键词 limit cycles weak focus limit cycles, weak focus

分类号 O241.82 [理学—计算数学]

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1张朝燕,张朝凤,余瑞芬.一类方程系统的中心焦点判定问题[J].辽宁师范大学学报（自然科学版）,2005,28(2):158-160.

1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.
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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
6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.
7叶彦谦.PHASE-PORTRAIT OF A CERTAIN INTEGRABLE QUADRATIC DIFFERENTIAL SYSTEM WITH CENTER[J].Annals of Differential Equations,2001,17(2):187-190.
8叶彦谦.QUALITIVE THEORY OF THE QUADRATIC DIFFERENTIAL SYSTEMS (I)[J].Annals of Differential Equations,1997,13(4):395-407. 被引量：1
9Wei Yin YE Department of Mathematics. Nanjing Normal University. Nanjing 210097, P. R. China Yan Qian YE Department of Mathematics. Nanjing University, Nanjing 210093, P. R. China.On the Conditions of a Center and General Integrals of Quadratic Differential Systems[J].Acta Mathematica Sinica,English Series,2001,17(2):229-236. 被引量：1
10ZHANG XIANG Institute of Mathematics,Nanjing Normal University,Nanjing 210097,China.ON TWO CONJECTURES OF THE QUADRATIC DIFFERENTIAL SYSTEMS[J].Chinese Annals of Mathematics,Series B,1997,18(4):429-434. 被引量：2

Annals of Differential Equations

2003年第3期

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THE MAXIMAL NUMBER OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEM = -y + lx^2 + xy, = x(l + ax + by) 被引量：1

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