Comptes Rendus
Dynamical Systems/Ordinary Differential Equations
Birth control in generalized Hopf bifurcations
[Contrôle des naissances dans les bifurcations de Hopf généralisées]
Comptes Rendus. Mathématique, Volume 345 (2007) no. 8, pp. 453-458.

Nous énonçons un lemme très général garantissant, aux points stationnaires partiellement elliptiques de familles de champs de vecteurs ou de transformations, la naissance de variétés compactes invariantes normalement hyperboliques. Quelques exemples suivent.

We state a very general lemma ensuring, at partially elliptic rest points of families of vector fields or transformations, the birth of normally hyperbolic invariant compact manifolds. A few examples follow.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.09.016

Marc Chaperon 1

1 Institut de mathématiques de Jussieu & Université Paris 7, UFR de mathématiques, case 7012, 2, place Jussieu, 75251 Paris cedex 05, France
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     title = {Birth control in generalized {Hopf} bifurcations},
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Marc Chaperon. Birth control in generalized Hopf bifurcations. Comptes Rendus. Mathématique, Volume 345 (2007) no. 8, pp. 453-458. doi : 10.1016/j.crma.2007.09.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.09.016/

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