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arXiv:math/0104279 [math.DS]AbstractReferencesReviewsResources

Convergence versus integrability in Birkhoff normal form

Nguyen Tien Zung

Published 2001-04-29, updated 2003-12-04Version 5

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.

Comments: final version, slightly improved presentation
Categories: math.DS, math.SG
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