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math.DS2020
V.I. Arnold's "Global" KAM Theorem and geometric measure estimates
L. Chierchia, C. E. Koudjinan
This paper continues the discussion started in [CK19] concerning Arnold's legacy on classical KAM theory and (some of) its modern developments. We prove a detailed and explicit `gl…
math.DS2020
Action-angle Variables for Generic 1D Mechanical Systems
Luca Biasco, Luigi Chierchia
We consider a 1D mechanical system in action-angle variable where $\bar {\…