Birkhoff normal form for the periodic Toda lattice

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In this paper we compute the Birkhoff normal form of the periodic Toda lattice up to order four. As an application, we verify that Kolmogorov's nondegeneracy condition in the KAM theorem holds almost everywhere in phase space.
19 pages

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/116752

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0609045
 http://arxiv.org/abs/nlin/0609045

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arXiv