Linearization of germs of hyperbolic vector fields

Patrick Bonckaert; Vincent Naudot; Jiazhong Yang

doi:10.1016/S1631-073X(02)00007-9

Ordinary Differential Equations

Linearization of germs of hyperbolic vector fields
[Linéarisation de germes de champs de vecteurs hyperboliques]

Présenté par : Étienne Ghys

Patrick Bonckaert ¹ ; Vincent Naudot ² ; Jiazhong Yang ³

¹ Limburgs Universitair Centrum, 3590 Diepenbeek, Belgium
² University of Groningen, Department of Mathematics, P.O. Box 800m, 9700 AV Groningen, The Netherlands
³ School of Mathematical Sciences, Peking University, Beijing 100871, PR China

Comptes Rendus. Mathématique, Volume 336 (2003) no. 1, pp. 19-22.

Résumé
Abstract

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.

Reçu le : 2002-10-21
Accepté le : 2002-11-05
Publié le : 2003-01-01

DOI : 10.1016/S1631-073X(02)00007-9

Affiliations des auteurs :

Patrick Bonckaert ¹ ; Vincent Naudot ² ; Jiazhong Yang ³

¹ Limburgs Universitair Centrum, 3590 Diepenbeek, Belgium
² University of Groningen, Department of Mathematics, P.O. Box 800m, 9700 AV Groningen, The Netherlands
³ School of Mathematical Sciences, Peking University, Beijing 100871, PR China

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Patrick Bonckaert; Vincent Naudot; Jiazhong Yang. Linearization of germs of hyperbolic vector fields. Comptes Rendus. Mathématique, Volume 336 (2003) no. 1, pp. 19-22. doi : 10.1016/S1631-073X(02)00007-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)00007-9/

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