Convergence versus integrability in Birkhoff normal form
Dynamical Systems
2007-05-23 v5 Symplectic Geometry
Abstract
We show that any analytically integrable Hamiltonian system near an equilibrium point admits a convergent Birkhoff normalization. The proof is based on a new, geometric approach to the problem.
Cite
@article{arxiv.math/0104279,
title = {Convergence versus integrability in Birkhoff normal form},
author = {Nguyen Tien Zung},
journal= {arXiv preprint arXiv:math/0104279},
year = {2007}
}
Comments
final version, slightly improved presentation