39 citations · 163 across the 14 of their papers we have counts for
15 papers
Darboux's Theorem, Lie series and the standardization of the Salerno and Ablowitz-Ladik models
Marco Calabrese, Simone Paleari, Tiziano Penati
In the framework of nonlinear Hamiltonian lattices, we revisit the proof of Moser-Darboux's Theorem, in order to present a general scheme for its constructive applicability to Hami…
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 nonexistence of degenerate phase-shift multibreathers in a zigzag Klein-Gordon model
T. Penati, V. Koukouloyannis, M. Sansottera +2
In this work, we study the existence of low amplitude four-site phase-shift multibreathers for small values of the coupling in Klein-Gordon (KG) chains with interactions longer…
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…