For generic families of vector fields or transformations, normally hyperbolic invariant products of spheres appear near partially elliptic rest points.
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.
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Mathilde Kammerer-Colin de Verdière 1
@article{CRMATH_2004__339_9_625_0, author = {Mathilde Kammerer-Colin de Verdi\`ere}, title = {Stable products of spheres in the non-linear coupling of oscillators or quasi-periodic motions}, journal = {Comptes Rendus. Math\'ematique}, pages = {625--629}, publisher = {Elsevier}, volume = {339}, number = {9}, year = {2004}, doi = {10.1016/j.crma.2004.09.017}, language = {en}, }
TY - JOUR AU - Mathilde Kammerer-Colin de Verdière TI - Stable products of spheres in the non-linear coupling of oscillators or quasi-periodic motions JO - Comptes Rendus. Mathématique PY - 2004 SP - 625 EP - 629 VL - 339 IS - 9 PB - Elsevier DO - 10.1016/j.crma.2004.09.017 LA - en ID - CRMATH_2004__339_9_625_0 ER -
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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