Normal form for odd periodic FPU chains

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In this paper we prove that near the equilibirum position any periodic FPU chain with an odd number of particles admits a Birkhoff normal form up to order 4, and we obtain an explicit formula of the Hessian of its Hamiltonian at the fixed point.
32 pages, corrected typos

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/119530

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0611063
 http://arxiv.org/abs/nlin/0611063

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arXiv