Geodesic
Convergence versus integrability in Birkhoff normal form
Nguyen Tien Zung1
1 Laboratoire Emile Picard, Université Toulouse III, 31062 Toulouse, France
Annals of mathematics, Tome 161 (2005) no. 1, pp. 141-156.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that any analytically integrable Hamiltonian system near an equilibrium point admits a convergent Birkhoff normalization. The proof is based on a new, geometric approach to the topic.
DOI : 10.4007/annals.2005.161.141

Nguyen Tien Zung 1

1 Laboratoire Emile Picard, Université Toulouse III, 31062 Toulouse, France 
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Nguyen Tien Zung. Convergence versus integrability in Birkhoff normal form. Annals of mathematics, Tome 161 (2005) no. 1, pp. 141-156. doi : 10.4007/annals.2005.161.141. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.141/

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