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math.DS2020★ 7 cited
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…
math.DS2019
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…