Arnold’s“FundamentalTheorem”onproperly–degeneratesystems [3, Chapter IV] is revisited and improved with particular attention to the re- lation between the perturbative parameters and to the measure of the Kol- mogorov set. Relations with the planetary many–body problem are shortly discussed.

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

PINZARI, GABRIELLA
2010

Abstract

Arnold’s“FundamentalTheorem”onproperly–degeneratesystems [3, Chapter IV] is revisited and improved with particular attention to the re- lation between the perturbative parameters and to the measure of the Kol- mogorov set. Relations with the planetary many–body problem are shortly discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/369428
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