KAM à la R

Details KAM à la R KAM à la R

2009-09-06

arxiv.org/abs/0909.1015v2

Mathematics

Dynamical Systems

11 pages, version 2.1

Scientific paper

Recently R\"ussmann proposed a new new variant of KAM theory based on a slowly converging iteration scheme. It is the purpose of this note to make this scheme accessible in an even simpler setting, namely for analytic perturbations of constant vector fields on a torus. As a side effect the result may be the shortest complete KAM proof for perturbations of integrable vector fields available so far.

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