Convergence or generic divergence of Birkhoff normal form

Details Convergence or generic divergence of Birkhoff normal form Convergence or generic divergence of Birkhoff normal form

2000-09-04

arxiv.org/abs/math/0009028v1

Mathematics

Dynamical Systems

Scientific paper

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.

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