Résumé: We state an extension theorem for invariant manifolds of diffeomorphisms near a 'normally hyperbolic' invariant torus. We apply this result in particular to the resolution of equations (1[less-than-or-equals, slant]j[less-than-or-equals, slant]n-1) where the Uj's are linear diagonal vector fields and the [theta]j's are germs at 0 of smooth functions on Rn. To cite this article: B. Abbaci, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

Langue: Anglais