Geodesic
On the versality of a family of symmetric vector fields in the plane
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 463-492 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The case is considered of a critical fixed point of a diffeomorphism of codimension 2 whose linear part has the eigenvalues $\pm1$. According to ideas developed by Takens and Arnol'd, to deformations of such diffeomorphisms there correspond families of vector fields invariant with respect to an involution of the plane, namely, a reflection relative to a line passing through the fixed point. Bifurcations in two-parameter families in general position are described. Rigorous proofs are given. Figures: 2. Bibliography: 11 titles. 
@article{SM_1984_48_2_a11,
     author = {Kh. Zholondek},
     title = {On the versality of a~family of symmetric vector fields in the plane},
     journal = {Sbornik. Mathematics},
     pages = {463--492},
     year = {1984},
     volume = {48},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a11/}
}
TY  - JOUR
AU  - Kh. Zholondek
TI  - On the versality of a family of symmetric vector fields in the plane
JO  - Sbornik. Mathematics
PY  - 1984
SP  - 463
EP  - 492
VL  - 48
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1984_48_2_a11/
LA  - en
ID  - SM_1984_48_2_a11
ER  - 
%0 Journal Article
%A Kh. Zholondek
%T On the versality of a family of symmetric vector fields in the plane
%J Sbornik. Mathematics
%D 1984
%P 463-492
%V 48
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1984_48_2_a11/
%G en
%F SM_1984_48_2_a11
Kh. Zholondek. On the versality of a family of symmetric vector fields in the plane. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 463-492. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a11/