Publication: Nekhoroshev theorem for the periodic Toda lattice
Nekhoroshev theorem for the periodic Toda lattice
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Henrici, A., & Kappeler, T. (2009). Nekhoroshev theorem for the periodic Toda lattice. Chaos (Woodbury, N.Y.), 19(3), 033120. https://doi.org/10.1063/1.3196783
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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 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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Henrici, A., & Kappeler, T. (2009). Nekhoroshev theorem for the periodic Toda lattice. Chaos (Woodbury, N.Y.), 19(3), 033120. https://doi.org/10.1063/1.3196783