57 citations · 319 across the 26 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori
Marco Sansottera, Veronica Danesi, Tiziano Penati +1
We consider the classical problem of the continuation of periodic orbits surviving to the breaking of invariant lower dimensional resonant tori in nearly integrable Hamiltonian sys…
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…
Rigorous estimates for the relegation algorithm
Marco Sansottera, Marta Ceccaroni
We revisit the relegation algorithm by Deprit et al. (Celest. Mech. Dyn. Astron. 79:157-182, 2001) in the light of the rigorous Nekhoroshev's like theory. This relatively recent al…