QUALITIVE THEORY OF THE QUADRATIC DIFFERENTIAL SYSTEMS (I) 被引量：1

QUALITIVE THEORY OF THE QUADRATIC DIFFERENTIAL SYSTEMS (I)

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摘要 Qualitative properties of critical points, integral lines and limit cycles are studied. Interesting relations between quantities characterizing local properties and those characterizing global properties are obtained. Qualitative properties of critical points, integral lines and limit cycles are studied. Interesting relations between quantities characterizing local properties and those characterizing global properties are obtained.

作者叶彦谦

机构地区南京大学

出处《Annals of Differential Equations》 1997年第4期395-407,共13页 微分方程年刊（英文版）

关键词 Quadratic differential system Anti-saddle Limit cycle Integral line Dulac function Quadratic differential system, Anti-saddle, Limit cycle, Integral line, Dulac function

分类号 O172 [理学—基础数学]

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1YE YANQIAN Department of Mathematics, Nanjing University, Nanjing 210008, China..LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)_(m=0) HAVING THREE ANTI-SADDLES (I)[J].Chinese Annals of Mathematics,Series B,1996,17(2):167-174. 被引量：1

引证文献1

1穆哈默德.阿里,罗定军.(Ⅲ)_(m=0)类二次系统的极限环问题(Ⅰ)(英文)[J].南京大学学报（数学半年刊）,2006,23(1):1-10.

1叶彦谦.QUALITATIVE THEORY OF THE QUADRATIC DIFFERENTIAL SYSTEMS (II)-ERGODICITY OF LIMIT CYCLES[J].Annals of Differential Equations,1998,14(2):294-303. 被引量：1
2张祥.BIFURCATION PROBLEM OF CRITICAL POINTSFOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1997,18(12):0-0.
3YE YANQIAN Department of Mathematics, Nanjing University, Nanjing 210008, China..LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (III)_(m=0) HAVING THREE ANTI-SADDLES (I)[J].Chinese Annals of Mathematics,Series B,1996,17(2):167-174. 被引量：1
4HONGXiao-chun.Qualitative analysis of a class of quadratic differential system[J].曲靖师范学院学报,2003,22(6):18-20.
5Xiang 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.
6YE YANQIAN.LIMIT CYCLES AND BIFURCATION CURVES FOR THE QUADRATIC DIFFERENTIAL SYSTEM(III)_(m=0)HAVING THREE ANTI-SADDLES(II)[J].Chinese Annals of Mathematics,Series B,1997,18(3):315-322.
7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
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

1997年第4期

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QUALITIVE THEORY OF THE QUADRATIC DIFFERENTIAL SYSTEMS (I) 被引量：1

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