57 citations · 319 across the 26 of their papers we have counts for
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math.DS2021★ 3 cited
Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms
Veronica Danesi, Marco Sansottera, Simone Paleari +1
We consider the problem of the continuation with respect to a small parameter of spatially localised and time periodic solutions in 1-dimensional dNLS lattices, where repre…
math.DS2021★ 1 cited
Kolmogorov variation: KAM with knobs (à la Kolmogorov)
Marco Sansottera, Veronica Danesi
In this paper we reconsider the original Kolmogorov normal form algorithm with a variation on the handling of the frequencies. At difference with respect to the Kolmogorov approach…
math.DS2021★ 8 cited
Librational KAM tori in the secular dynamics of the Andromedæ planetary system
Chiara Caracciolo, Ugo Locatelli, Marco Sansottera +1
We study the planetary system of ~Andromedæ, considering the three-body problem formed by the central star and the two largest planets, ~And~\emph{c} and $\upsi…