Classical constructive methods in KAM theory

Details Classical constructive methods in KAM theory Classical constructive methods in KAM theory

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998p%26ss...46.1441g&link_type=abstract

Planetary and Space Science, Volume 46, Issue 11-12, p. 1441-1451.

Computer Science

3

Scientific paper

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 (Kolmogorov, 1954). 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.

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