Convergence or generic divergence of Birkhoff normal form
Dynamical Systems
2007-05-23 v1 Chaotic Dynamics
Abstract
We prove that Birkhoff normal form of hamiltonian flows at a non-resonant singular point with given quadratic part are always convergent or generically divergent. The same result is proved for the normalization mapping and any formal first integral.
Cite
@article{arxiv.math/0009028,
title = {Convergence or generic divergence of Birkhoff normal form},
author = {Ricardo Perez-Marco},
journal= {arXiv preprint arXiv:math/0009028},
year = {2007}
}