Non Quasi-Periodic Normal Form Theory
Dynamical Systems
2023-03-20 v1 Mathematical Physics
math.MP
Abstract
We review a recent generalization of Normal Form Theory to systems (Hamiltonian ones or general ODEs) where the perturbing term is not periodic in one coordinate variable. The main difference with the standard case relies on the non uniqueness of the Normal Form and the total absence of the small divisors problem. The exposition is quite general, so as to allow extensions to the case of more non--periodic coordinates, and more functional settings. Here, for simplicity, we work in the real--analytic class.
Cite
@article{arxiv.2303.10143,
title = {Non Quasi-Periodic Normal Form Theory},
author = {Gabriella Pinzari},
journal= {arXiv preprint arXiv:2303.10143},
year = {2023}
}
Comments
23 pages, no figures. Key-words: Normal Form Theory, Perturbation Theory, {\sc kam} theory