Geodesic
Computing the differential of an unfolded contact diffeomorphism
Applications of Mathematics, Tome 48 (2003) no. 1, pp. 3-30.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism $\Phi $ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential $D\Phi (0)$ of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of $D\Phi (0)$. Singularity classes containing bifurcation points with $\mathop {\mathrm codim}\le 3$, $\mathop {\mathrm corank}=1$ are considered.
DOI : 10.1023/A:1022950819918
Classification : 34A34, 35B32, 37C05, 47J15, 58K20, 65L99, 65P30
Keywords: bifurcation points; imperfect bifurcation diagrams; qualitative analysis 
@article{10_1023_A_1022950819918,
     author = {B\"ohmer, Klaus and Janovsk\'a, Drahoslava and Janovsk\'y, Vladim{\'\i}r},
     title = {Computing the differential of an unfolded contact diffeomorphism},
     journal = {Applications of Mathematics},
     pages = {3--30},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2003},
     doi = {10.1023/A:1022950819918},
     mrnumber = {1954501},
     zbl = {1099.34007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022950819918/}
}
TY  - JOUR
AU  - Böhmer, Klaus
AU  - Janovská, Drahoslava
AU  - Janovský, Vladimír
TI  - Computing the differential of an unfolded contact diffeomorphism
JO  - Applications of Mathematics
PY  - 2003
SP  - 3
EP  - 30
VL  - 48
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1022950819918/
DO  - 10.1023/A:1022950819918
LA  - en
ID  - 10_1023_A_1022950819918
ER  - 
%0 Journal Article
%A Böhmer, Klaus
%A Janovská, Drahoslava
%A Janovský, Vladimír
%T Computing the differential of an unfolded contact diffeomorphism
%J Applications of Mathematics
%D 2003
%P 3-30
%V 48
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1022950819918/
%R 10.1023/A:1022950819918
%G en
%F 10_1023_A_1022950819918
Böhmer, Klaus; Janovská, Drahoslava; Janovský, Vladimír. Computing the differential of an unfolded contact diffeomorphism. Applications of Mathematics, Tome 48 (2003) no. 1, pp. 3-30. doi : 10.1023/A:1022950819918. http://geodesic.mathdoc.fr/articles/10.1023/A:1022950819918/

Cité par Sources :