Normal form for odd periodic FPU chains
Exactly Solvable and Integrable Systems
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.nlin/0611063,
title = {Normal form for odd periodic FPU chains},
author = {Andreas Henrici and Thomas Kappeler},
journal= {arXiv preprint arXiv:nlin/0611063},
year = {2007}
}
Comments
32 pages, corrected typos