Kolmogorov theorem and classical perturbation theory
by Antonio Giorgilli and Ugo Locatelli
Abstract:
We reconsider the original proof of Kolmogorov's theorem in
the light of classical perturbation methods based on expansions in
some parameter. This produces quasiperiodic solutions on invariant
tori in the form of power series in a small parameter, that we prove
to be absolutely convergent.
ZAMP 48, 220-261 (1997)
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