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20192026
most citedA KAM Theorem for finitely differentiable Hamiltonian systems

11 citations · 25 across the 8 of their papers we have counts for

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math.DS2019★ 7 cited

V.I. Arnold's "pointwise" KAM Theorem

Luigi Chierchia, Comlan Edmond Koudjinan

We review V.I. Arnold's 1963 celebrated paper \cite{ARV63} {\sl Proof of A.N. Kolmogorov's theorem on the conservation of conditionally periodic motions with a small variation in t…

math.DS2019★ 11 cited

A KAM Theorem for finitely differentiable Hamiltonian systems

Comlan Edmond Koudjinan

Given , we prove the persistence of a Cantor--family of KAM tori of measure for any non--degenerate nearly integrable Hamiltonian system o…

math.DS2019

Quantitative KAM normal forms and sharp measure estimates

Comlan Edmond Koudjinan

It is widespread since the beginning of KAM Theory that, under "sufficiently small" perturbation, of size , apart a set of measure , all the KAM Tori of a non-degener…