39 citations · 163 across the 14 of their papers we have counts for
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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…
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…
Existence, linear stability and long-time nonlinear stability of Klein-Gordon breathers in the small-amplitude limit
Dmitry E. Pelinovsky, Tiziano Penati, Simone Paleari
In this paper we consider a discrete Klein-Gordon (dKG) equation on $\ZZ^d$ in the limit of the discrete nonlinear Schrodinger (dNLS) equation, for which small-amplitude breathers…
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…
Long time stability of small amplitude Breathers in a mixed FPU-KG model
Simone Paleari, Tiziano Penati
In the limit of small couplings in the nearest neighbor interaction, and small total energy, we apply the resonant normal form result of a previous paper of ours to a finite but ar…
An extensive resonant normal form for an arbitrary large Klein-Gordon model
Simone Paleari, Tiziano Penati
We consider a finite but arbitrarily large Klein-Gordon chain, with periodic boundary conditions. In the limit of small couplings in the nearest neighbor interaction, and small (to…