4 papers
Nekhoroshev Theorem for time quasiperiodic perturbations of P-Steep systems
Dario Bambusi, Santiago Barbieri, Mar Giralt +1
We prove a Nekhoroshev type result for a time quasiperiodic perturbation of an integrable Hamiltonian system. More precisely, we assume that the integrable part is analytic and ful…
A survey on rigorous results for the dynamics of periodic FPU chains
Dario Bambusi, Andrea Carati, Alberto Maiocchi
In this paper we review some analytic results on the dynamics of the FPU system. In the first part of the paper, having in mind that the FPU Hamiltonian and the Toda Hamiltonian ar…
Non relativistic limit of the nonlinear Klein-Gordon equation: Uniform in time approximation of KAM solutions
Dario Bambusi, Andrea Belloni, Filippo Giuliani
We study the non relativistic limit of the solutions of the cubic nonlinear Klein--Gordon (KG) equation with periodic boundary conditions on an interval and we construct a family o…
Longtime dynamics for the Landau Hamiltonian with a time dependent magnetic field
Dario Bambusi, Benoit Grébert, Alberto Maspero +2
We consider a modulated magnetic field, , perpendicular to a fixed plane, where is constant, and a periodic function on th…