[Linéarisation de germes de champs de vecteurs hyperboliques]
Nous développons une forme normale pour exprimer asymptotiquement une conjugaison entre un germe de champ de vecteur résonant et sa partie linéaire. Nous montrons qu'une telle conjugaison peut s'ecrire sous en terme de fonctions de fonctions dites LMT.
We develop a normal form to express asymptotically a conjugacy between a germ of resonant vector field and its linear part. We show that such an asymptotic expression can be written in terms of functions of the Logarithmic Mourtada type.
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@article{CRMATH_2003__336_1_19_0,
author = {Bonckaert, Patrick and Naudot, Vincent and Yang, Jiazhong},
title = {Linearization of germs of hyperbolic vector fields},
journal = {Comptes Rendus. Math\'ematique},
pages = {19--22},
publisher = {Elsevier},
volume = {336},
number = {1},
year = {2003},
doi = {10.1016/S1631-073X(02)00007-9},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)00007-9/}
}
TY - JOUR AU - Bonckaert, Patrick AU - Naudot, Vincent AU - Yang, Jiazhong TI - Linearization of germs of hyperbolic vector fields JO - Comptes Rendus. Mathématique PY - 2003 SP - 19 EP - 22 VL - 336 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)00007-9/ DO - 10.1016/S1631-073X(02)00007-9 LA - en ID - CRMATH_2003__336_1_19_0 ER -
%0 Journal Article %A Bonckaert, Patrick %A Naudot, Vincent %A Yang, Jiazhong %T Linearization of germs of hyperbolic vector fields %J Comptes Rendus. Mathématique %D 2003 %P 19-22 %V 336 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)00007-9/ %R 10.1016/S1631-073X(02)00007-9 %G en %F CRMATH_2003__336_1_19_0
Bonckaert, Patrick; Naudot, Vincent; Yang, Jiazhong. Linearization of germs of hyperbolic vector fields. Comptes Rendus. Mathématique, Tome 336 (2003) no. 1, pp. 19-22. doi : 10.1016/S1631-073X(02)00007-9. http://archive.numdam.org/articles/10.1016/S1631-073X(02)00007-9/
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