Convergence versus integrability in Birkhoff normal form
动力系统
2007-05-23 v5 辛几何
摘要
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.
引用
@article{arxiv.math/0104279,
title = {Convergence versus integrability in Birkhoff normal form},
author = {Nguyen Tien Zung},
journal= {arXiv preprint arXiv:math/0104279},
year = {2007}
}
备注
final version, slightly improved presentation