KAM theorems and open problems for infinite dimensional Hamiltonian with short range
Dynamical Systems
2012-12-20 v1
Abstract
Introduce several KAM theorems for infinite dimensional Hamiltonian with short range and discuss the relationship between spectra of linearized operator and invariant tori. Especially, introduce a KAM theorem in the paper(Cummun. Math. Phys. 226, 61-100 (2002)) which shows that there are rich KAM tori for a class of Hamiltonian with short range and with linearized operator of pure point spectra. Here are also presented several open problems.
Keywords
Cite
@article{arxiv.1212.4559,
title = {KAM theorems and open problems for infinite dimensional Hamiltonian with short range},
author = {Xiaoping Yuan},
journal= {arXiv preprint arXiv:1212.4559},
year = {2012}
}