[D'autres variétés compactes invariantes apparaissant dans le couplage non linéaire d'oscillateurs]
Près de points stationnaires partiellement elliptiques de familles génériques de champs de vecteurs ou de transformations apparaissent toutes sortes de variétés compactes invariantes normalement hyperboliques, difféomorphes à des intersections de quadriques.
Near partially elliptic rest points of generic families of vector fields or transformations, many types of normally hyperbolic invariant compact manifolds can appear, diffeomorphic to intersections of quadrics.
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@article{CRMATH_2006__342_5_301_0,
author = {Chaperon, Marc and Kammerer-Colin De Verdi\`ere, Mathilde and L\'opez De Medrano, Santiago},
title = {More compact invariant manifolds appearing in the non-linear coupling of oscillators},
journal = {Comptes Rendus. Math\'ematique},
pages = {301--305},
publisher = {Elsevier},
volume = {342},
number = {5},
year = {2006},
doi = {10.1016/j.crma.2005.12.032},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2005.12.032/}
}
TY - JOUR AU - Chaperon, Marc AU - Kammerer-Colin De Verdière, Mathilde AU - López De Medrano, Santiago TI - More compact invariant manifolds appearing in the non-linear coupling of oscillators JO - Comptes Rendus. Mathématique PY - 2006 SP - 301 EP - 305 VL - 342 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2005.12.032/ DO - 10.1016/j.crma.2005.12.032 LA - en ID - CRMATH_2006__342_5_301_0 ER -
%0 Journal Article %A Chaperon, Marc %A Kammerer-Colin De Verdière, Mathilde %A López De Medrano, Santiago %T More compact invariant manifolds appearing in the non-linear coupling of oscillators %J Comptes Rendus. Mathématique %D 2006 %P 301-305 %V 342 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2005.12.032/ %R 10.1016/j.crma.2005.12.032 %G en %F CRMATH_2006__342_5_301_0
Chaperon, Marc; Kammerer-Colin De Verdière, Mathilde; López De Medrano, Santiago. More compact invariant manifolds appearing in the non-linear coupling of oscillators. Comptes Rendus. Mathématique, Tome 342 (2006) no. 5, pp. 301-305. doi : 10.1016/j.crma.2005.12.032. http://www.numdam.org/articles/10.1016/j.crma.2005.12.032/
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