Proof of Nishida's conjecture on anharmonic lattices
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
We prove Nishida's 1971 conjecture stating that almost all low-energetic motions of the anharmonic Fermi-Pasta-Ulam lattice with fixed endpoints are quasi-periodic. The proof is based on the formal computations of Nishida, the KAM theorem, discrete symmetry considerations and an algebraic trick that considerably simplifies earlier results.
Keywords
Cite
@article{arxiv.nlin/0506024,
title = {Proof of Nishida's conjecture on anharmonic lattices},
author = {Bob Rink},
journal= {arXiv preprint arXiv:nlin/0506024},
year = {2009}
}
Comments
16 pages, 1 figure; accepted for publication in Comm. Math. Phys