Convergence versus integrability in Birkhoff normal form

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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 problem.
final version, slightly improved presentation

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Dynamical Systems, Symplectic Geometry, 70HXX

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http://salesiana.dossiersoluciones.com/handle/123456789/61392

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104279
 http://arxiv.org/abs/math/0104279

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arXiv