Birkhoff normal form for the periodic Toda lattice

Details Birkhoff normal form for the periodic Toda lattice Birkhoff normal form for the periodic Toda lattice

2006-09-18

arxiv.org/abs/nlin/0609045v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages

Scientific paper

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.

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