Convergence or generic divergence of Birkhoff normal form

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dc.creatorPerez-Marco, Ricardo
dc.date2000-09-04
dc.date.accessioned2026-07-25T22:53:19Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0009028
dc.identifierhttp://arxiv.org/abs/math/0009028
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/93468
dc.subjectDynamical Systems
dc.subjectChaotic Dynamics
dc.subject70K45, 34M35, 37J40, 37J30
dc.titleConvergence or generic divergence of Birkhoff normal form
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