KAM à la R - Mathematics > Dynamical SystemsReport as inadecuate




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



Author: Jürgen Pöschel

Source: https://arxiv.org/



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