Classical constructive methods in KAM theory

by Antonio Giorgilli

**Abstract:**
Two methods for constructing quasiperiodic solutions as
expansion in a small parameter are discussed. The first one is the
classical Lindstedt's method; the second one an algorithm based on
Kolmogorov's paper [1]. Besides a complete
formulation of the algorithms, an overview of the main ideas leading to
the proof of convergence of the expansions is given. Some comparison
is also made, including in particular the analysis of the
effectiveness of the algorithms.

PSS **46**, 1441-1451 (1998)

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