Publication:

Nekhoroshev theorem for the periodic Toda lattice

Date

Date

Date
2009
Journal Article
Published version

Citations

Citation copied

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

Abstract

Abstract

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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Creators (Authors)

  • Henrici, A
    affiliation.icon.alt
  • Kappeler, T
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
19

Number

Number

Number
3

Page range/Item number

Page range/Item number

Page range/Item number
033120

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Language

Language

Language
English

Publication date

Publication date

Publication date
2009

Date available

Date available

Date available
2010-03-19

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
1054-1500

OA Status

OA Status

OA Status
Green

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Free Access at

Free Access at
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Citations

Citation copied

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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