Comptes Rendus
Dynamical Systems
Stable products of spheres in the non-linear coupling of oscillators or quasi-periodic motions
[Naissance de produits de sphères invariants lors du couplage non linéaire d'oscillateurs ou de mouvements quasi-périodiques.]
Comptes Rendus. Mathématique, Volume 339 (2004) no. 9, pp. 625-629.

Pour les familles génériques de champs de vecteurs ou de transformations, toutes sortes de produits de sphères normalement hyperboliques peuvent apparaître près des points stationnaires partiellement elliptiques.

For generic families of vector fields or transformations, normally hyperbolic invariant products of spheres appear near partially elliptic rest points.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2004.09.017

Mathilde Kammerer-Colin de Verdière 1

1 Université de Bourgogne, laboratoire de topologie, UMR 5584 du CNRS, B.P. 47870, 21078 Dijon cedex, France
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Mathilde Kammerer-Colin de Verdière. Stable products of spheres in the non-linear coupling of oscillators or quasi-periodic motions. Comptes Rendus. Mathématique, Volume 339 (2004) no. 9, pp. 625-629. doi : 10.1016/j.crma.2004.09.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.09.017/

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