57 citations · 319 across the 26 of their papers we have counts for
26 papers
Existence proof of librational invariant tori in an averaged model of HD60532 planetary system
Veronica Danesi, Ugo Locatelli, Marco Sansottera
We investigate the long-term dynamics of HD60532, an extrasolar system hosting two giant planets orbiting in a 3:1 mean motion resonance. We consider an average approximation at or…
A numerical criterion evaluating the robustness of planetary architectures; applications to the Andromedæ system
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the Andromedæ system, by modelling it with a three-body pr…
Invariant KAM tori: from theory to applications to exoplanetary systems
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We consider the classical problem of the construction of invariant tori exploiting suitable Hamiltonian normal forms. This kind of approach can be translated by means of the Lie se…
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…