Brjuno conditions for linearization in presence of resonances

Details Brjuno conditions for linearization in presence of resonances Brjuno conditions for linearization in presence of resonances

2009-11-23

arxiv.org/abs/0911.4341v1

Mathematics

Dynamical Systems

14 pages, no figures

Scientific paper

We present a new proof, under a slightly different (and more natural)
arithmetic hypothesis, and using direct computations via power series
expansions, of a holomorphic linearization result in presence of resonances
originally proved by R\"ussmann.

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