30 citations · 148 across the 14 of their papers we have counts for
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math.DS2014★ 1 cited
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…
math.DS2014★ 9 cited
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…
math.DS2014
Normal Form and Energy Conservation of High Frequency Subsystems Without Nonresonance Conditions
Dario Bambusi, Antonio Giorgilli, Simone Paleari +1
We consider a system in which some high frequency harmonic oscillators are coupled with a slow system. We prove that up to very long times the energy of the high frequency system c…