Convergence versus integrability in Birkhoff normal form

• 成果类型: Article
• 署名作者: Zung, NT
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.161.141
• 发表日期: 2005
• 页码: 141-156
• 关键词: hamiltonian-systems

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 topic.