An optimized Arnold scheme yields explicit sharp smallness conditions and optimal oscillation estimates for persisted KAM tori.
Chierchia, Kolmogorov–Arnold–Moser (KAM) Theory , In : Mathematics of Complexity and Dynamical Systems, Springer New York, 2012
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V.I. Arnold's "pointwise" KAM Theorem
An optimized Arnold scheme yields explicit sharp smallness conditions and optimal oscillation estimates for persisted KAM tori.