Henrici, A; Kappeler, T (2009). Nekhoroshev theorem for the periodic Toda lattice. Chaos, 19(3):033120.
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).
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).
| 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: | 24 Sep 2019 16:48 |
| Publisher: | American Institute of Physics |
| ISSN: | 1054-1500 |
| OA Status: | Green |
| 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 |
Henrici, A