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Comptes Rendus Mathématique
Volume 345, n° 8
pages 453-458 (octobre 2007)
Doi : 10.1016/j.crma.2007.09.016
Received : 20 August 2007 ;  accepted : 17 September 2007
Birth control in generalized Hopf bifurcations
Contrôle des naissances dans les bifurcations de Hopf généralisées

Marc Chaperon
Institut de mathématiques de Jussieu & Université Paris 7, UFR de mathématiques, case 7012, 2, place Jussieu, 75251 Paris cedex 05, France 


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. To cite this article: M. Chaperon, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.

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. Pour citer cet article : M. Chaperon, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.

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