Normal form for odd periodic FPU chains

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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32 pages, corrected typos

Scientific paper

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.

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