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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