2006/11/30 by Andreas Henrici, Henrici, Andreas, Thomas Kappeler +1
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0611063
32 pages, corrected typos
arxiv created 2006/12/01 · arxiv updated 2009/12/01
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.