7 citations · 19 across the 7 of their papers we have counts for
4 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…
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…
On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori
Tiziano Penati, Marco Sansottera, Veronica Danesi
We reconsider the classical problem of the continuation of degenerate periodic orbits in Hamiltonian systems. In particular we focus on periodic orbits that arise from the breaking…