TY - JOUR
AB - We review V. I. Arnold’s 1963 celebrated paper [1] Proof of A. N. Kolmogorov’s Theorem on the Conservation of Conditionally Periodic Motions with a Small Variation in the Hamiltonian, and prove that, optimising Arnold’s scheme, one can get “sharp” asymptotic quantitative conditions (as ε → 0, ε being the strength of the perturbation). All constants involved are explicitly computed.
AU - Chierchia, Luigi
AU - Koudjinan, Edmond
ID - 8693
JF - Regular and Chaotic Dynamics
TI - V. I. Arnold’s “pointwise” KAM theorem
VL - 24
ER -