CONFIGURATIONS OF FANS AND NESTS OF LIMIT-CYCLES FOR POLYNOMIAL VECTOR-FIELDS IN THE PLANE

被引：13

作者：

CIMA, A ^{[1
]}

LLIBRE, J ^{[1
]}

机构：

[1] UNIV AUTONOMA BARCELONA,FAC CIENCIES ECON,DEPT ECON & HIST ECON,E-08193 BARCELONA,SPAIN

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1989年 / 82卷 / 01期

关键词：

D O I：

10.1016/0022-0396(89)90168-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：71 / 97

页数：27

共 50 条

[1] LIMIT-CYCLES OF A CLASS OF POLYNOMIAL VECTOR-FIELDS IN THE PLANE
CHICONE, C
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 63 (01) : 68 - 87
[2] LIMIT-CYCLES OF POLYNOMIAL VECTOR-FIELDS WITH NONDEGENERATE SINGULAR POINTS ON THE REAL PLANE
ILYASHENKO, YS
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1984, 18 (03) : 199 - 209
[3] THE FINITENESS PROBLEM FOR LIMIT-CYCLES OF POLYNOMIAL VECTOR-FIELDS ON THE PLANE - GERMS OF SADDLE RESONANT VECTOR-FIELDS AND NONHAUSDORFF RIEMANN SURFACES
ILASENKO, JS
[J]. LECTURE NOTES IN MATHEMATICS, 1984, 1060 : 290 - 305
[4] QUADRATIC VECTOR-FIELDS IN THE PLANE HAVE A FINITE NUMBER OF LIMIT-CYCLES
BAMON, R
[J]. PUBLICATIONS MATHEMATIQUES, 1986, (64): : 111 - 142
[5] LIMIT-CYCLES OF PERTURBATIONS OF QUADRATIC HAMILTONIAN VECTOR-FIELDS
GAVRILOV, L
HOROZOV, E
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1993, 72 (02): : 213 - 238
[6] Configurations of limit cycles and planar polynomial vector fields
Llibre, J
Rodríguez, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 198 (02) : 374 - 380
[7] Algebraical Limit Cycles of Polynomial Vector Fields on the Plane
M. V. Dolov
[J]. Differential Equations, 2001, 37 : 1211 - 1216
[8] Algebraical limit cycles of polynomial vector fields on the plane
Dolov, MV
[J]. DIFFERENTIAL EQUATIONS, 2001, 37 (09) : 1211 - 1216
[9] LIMIT-CYCLES AND ROTATED VECTOR FIELDS
DUFF, GFD
[J]. ANNALS OF MATHEMATICS, 1953, 57 (01) : 15 - 31
[10] ON A CLASS OF COMPLETE POLYNOMIAL VECTOR-FIELDS IN THE PLANE
CHICONE, C
SOTOMAYOR, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 61 (03) : 398 - 418

← 1 2 3 4 5 →