Long time stability of KAM tori for nonlinear wave equation
Dynamical Systems
2014-05-01 v1
Abstract
It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for infinite dimensional Hamiltonian systems generated by nonlinear wave equation, by constructing a partial normal form of higher order around the KAM torus and showing -tame property persists under KAM iterative procedure and normal form iterative procedure.
Keywords
Cite
@article{arxiv.1404.7556,
title = {Long time stability of KAM tori for nonlinear wave equation},
author = {Cong Hongzi and Gao Meina and Liu Jianjun},
journal= {arXiv preprint arXiv:1404.7556},
year = {2014}
}