Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function
نویسندگان
چکیده
منابع مشابه
Nekhoroshev theorem for the periodic Toda lattice.
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 R(N-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) al...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2013
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2772