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arXiv:math/0009028 [math.DS]AbstractReferencesReviewsResources

Convergence or generic divergence of Birkhoff normal form

Ricardo Perez-Marco

Published 2000-09-04Version 1

We prove that Birkhoff normal form of hamiltonian flows at a non-resonant singular point with given quadratic part are always convergent or generically divergent. The same result is proved for the normalization mapping and any formal first integral.

Categories: math.DS, nlin.CD
Subjects: 70K45, 34M35, 37J40, 37J30
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