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Nekhoroshev theorem for the periodic Toda lattice


Henrici, A; Kappeler, T (2009). Nekhoroshev theorem for the periodic Toda lattice. Chaos, 19(3):033120.

Abstract

The periodic Toda lattice with N sites is globally symplectomorphic to a two parameter family of N−1 coupled harmonic oscillators. The action variables fill out the whole positive quadrant of mathN−1. We prove that in the interior of the positive quadrant as well as in a neighborhood of the origin, the Toda Hamiltonian is strictly convex and therefore Nekhoroshev’s theorem applies on (almost) all parts of phase space (2000 Mathematics Subject Classification: 37J35, 37J40, 70H06).

Abstract

The periodic Toda lattice with N sites is globally symplectomorphic to a two parameter family of N−1 coupled harmonic oscillators. The action variables fill out the whole positive quadrant of mathN−1. We prove that in the interior of the positive quadrant as well as in a neighborhood of the origin, the Toda Hamiltonian is strictly convex and therefore Nekhoroshev’s theorem applies on (almost) all parts of phase space (2000 Mathematics Subject Classification: 37J35, 37J40, 70H06).

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2009
Deposited On:19 Mar 2010 09:01
Last Modified:08 Jun 2016 07:38
Publisher:American Institute of Physics
ISSN:1054-1500
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1063/1.3196783
Related URLs:http://arxiv.org/abs/0812.4912

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