Convergence or generic divergence of Birkhoff normal form

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59850We 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.Dynamical SystemsChaotic Dynamics70K45, 34M35, 37J40, 37J30Convergence or generic divergence of Birkhoff normal formtext