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20082022
most citedKolmogorov and Nekhoroshev theory for the problem of three bodies

57 citations · 143 across the 7 of their papers we have counts for

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math.DS2021

Hamiltonian Control of Magnetic Field Lines: Computer Assisted Results Proving the Existence of KAM Barriers

Lorenzo Valvo, Ugo Locatelli

We reconsider a control theory for Hamiltonian systems, that was introduced on the basis of KAM theory and applied to a model of magnetic field in previous articles. By a combinati…

math.DS2017★ 6 cited

Improved convergence estimates for the Schröder-Siegel problem

Antonio Giorgilli, Ugo Locatelli, Marco Sansottera

We reconsider the Schröder-Siegel problem of conjugating an analytic map in in the neighborhood of a fixed point to its linear part, extending it to the case of dimens…