Journal
CHAOS
Volume 19, Issue 3, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3196783
Keywords
differential equations; elliptic equations; harmonic oscillators; numerical analysis; perturbation theory; Toda lattice
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Funding
- Swiss National Science Foundation
- European Community [MRTN-CT-2004-5652]
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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 RN-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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