39 citations · 163 across the 14 of their papers we have counts for
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math.DS2017★ 6 cited
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…
nlin.PS2017★ 15 cited
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice
T. Penati, M. Sansottera, S. Paleari +2
We consider a one-dimensional discrete nonlinear Schr{ö}dinger (dNLS) model featuring interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) of…