Arnold’s “Fundamental Theorem” on properly–degenerate systems [3, Chapter IV] is revisited and improved with particular attention to the relation between the perturbative parameters and to the measure of the Kolmogorov set. Relations with the planetary many–body problem are shortly discussed.

Chierchia, L., Pinzari, G. (2010). Properly-degenerate KAM theory (following V.I. Arnold). DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 3 (4), 545-578 [10.3934/dcdss.2010.3.545].

Properly-degenerate KAM theory (following V.I. Arnold)

CHIERCHIA, Luigi;
2010-01-01

Abstract

Arnold’s “Fundamental Theorem” on properly–degenerate systems [3, Chapter IV] is revisited and improved with particular attention to the relation between the perturbative parameters and to the measure of the Kolmogorov set. Relations with the planetary many–body problem are shortly discussed.
2010
Chierchia, L., Pinzari, G. (2010). Properly-degenerate KAM theory (following V.I. Arnold). DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 3 (4), 545-578 [10.3934/dcdss.2010.3.545].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/146577
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