Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 22 (1983), pp. 94-129
Citer cet article
O. V. Lyashko. Geometry of bifurcation diagrams. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 22 (1983), pp. 94-129. http://geodesic.mathdoc.fr/item/INTD_1983_22_a2/
@article{INTD_1983_22_a2,
author = {O. V. Lyashko},
title = {Geometry of bifurcation diagrams},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {94--129},
year = {1983},
volume = {22},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1983_22_a2/}
}
TY - JOUR
AU - O. V. Lyashko
TI - Geometry of bifurcation diagrams
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1983
SP - 94
EP - 129
VL - 22
UR - http://geodesic.mathdoc.fr/item/INTD_1983_22_a2/
LA - ru
ID - INTD_1983_22_a2
ER -
%0 Journal Article
%A O. V. Lyashko
%T Geometry of bifurcation diagrams
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1983
%P 94-129
%V 22
%U http://geodesic.mathdoc.fr/item/INTD_1983_22_a2/
%G ru
%F INTD_1983_22_a2
The geometry of a bifurcation diagram in the base of a versal deformation of a singularity is studied for single singularities on a manifold with boundary. In particular, vector fields and groups of diffeomorphisms are studied which are defined in a neighborhood of a bifurcation diagram as are stratification of a bifurcation diagram and decomposition of singularities.