GENERIC 3-PARAMETER FAMILIES OF VECTOR-FIELDS ON THE PLANE, UNFOLDING A SINGULARITY WITH NILPOTENT LINEAR PART - THE CUSP CASE OF CODIMENSION-3

被引：180

作者：

DUMORTIER, F

ROUSSARIE, R

SOTOMAYOR, J

机构：

[1] LIMBURGS UNIV CENTRUM,B-3610 DIEPENBEEK,BELGIUM

[2] INST MATEMAT PURA & APLICADA,BR-2000 RIO DE JANEIRO,RJ,BRAZIL

[3] UNIV BOURGOGNE,TOPOL LAB,CNRS,UA 755,F-21004 DIJON,FRANCE

来源：

关键词：

D O I：

10.1017/S0143385700004119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：375 / 413

页数：39

共 16 条

[1]

ARNOLD V, 1971, RUSSIAN MATH SURVEYS, V26

[2]

Arnold V.I., 1976, METHODES MATH MECANI

[3]

Arnold VI, 1980, CHAPITRES SUPPLEMENT

[4]

BOGDANOV R, 1981, SEL MATH SOV, V1

[5]

CHERKAS LA, 1971, DIFFERENTIAL NYE URA, V17, P469

[6]

DUMORTIER F, 1978, ASTERISQUE, V59, P7

[7]

Dumortier F., 1978, MONOGRAFIAS MATEMATI, V32

[8]

ILJASHENKO YS, 1978, T SEMINAR PETROVSKI, V3, P49

[9] BIFURCATIONS AND TRAJECTORIES JOINING CRITICAL-POINTS [J].

KOPELL, N ;

HOWARD, LN .

[10]

Malgrange B., 1966, IDEALS DIFFERENTIABL