Convergence versus integrability in Birkhoff normal form

• Autores: Nguyen Tien Zung
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 161, Nº 1, 2005, págs. 141-156
• Idioma: inglés
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• Resumen

  • 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.