THE CYCLICITY OF TRIANGLES AND SEGMENTS IN QUADRATIC SYSTEMS

被引：21

作者：

ZOLADEK, H

机构：

[1] Institute of Mathematics, University of Warsaw, PL 02097 Warsaw

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1995年 / 122卷 / 01期

关键词：

D O I：

10.1006/jdeq.1995.1142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with quadratic systems having separatrix contour in the form of a triangle or a conic segment. The limit cycles appearing near this configuration after quadratic perturbation is studied. The maximal number of limit cycles is 3 for the bounded triangle and 2 for the unbounded triangle and for the bounded segment. (C) 1995 Academic Press, Inc.

引用

页码：137 / 159

页数：23

共 8 条

[1]

Bautin NN., 1954, AKAD NAUK SSSR PRIKL, V18, P128

[2] HILBERTS 16TH PROBLEM FOR QUADRATIC VECTOR-FIELDS [J].

DUMORTIER, F ;

ROUSSARIE, R ;

ROUSSEAU, C .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 110 (01) :86-133

[3]

MOURTADA A, 1990, LECT NOTES MATH, V1455, P272

[4]

MOURTADA A, IN PRESS J DIFF EQUA

[5]

Reyn J. W., 1980, LECT NOTES MATH, V810, P264

[6]

ROUSSARIE R, 1987, ASTERISQUE, P151

[7]

Rychkov G.S., 1972, DIFFER URAVNENIYA, V8, P1748

[8] QUADRATIC SYSTEMS WITH CENTER AND THEIR PERTURBATIONS [J].

ZOLADEK, H .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 109 (02) :223-273

← 1 →