3 citations · 9 across the 9 of their papers we have counts for
9 papers
On the integrability of the Kirchhoff-Pohozaev equation on tori
Dario Bambusi, Emanuele Haus, Simone Marrocco +1
In this paper we study the Kirchhoff-Pohozaev equation introduced in \cite{P2} and its constants of motion (see \cite{BoitiManfrin2025}, \cite{BoitiManfrin2026}) on dimensional…
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 the…
A global Nekhoroshev theorem for particles on the torus with time dependent Hamiltonian
Dario Bambusi
We prove a global version of Nekhoroshev theorem for time dependent Hamiltonians in . Precisely, we prove a result showing that for all times the actions…
A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori
Dario Bambusi, Patrick Gérard
We consider a perturbation of the Benjamin Ono equation with periodic boundary conditions on a segment. We consider the case where the perturbation is Hamiltonian and the correspon…
A large probability averaging Theorem for the defocousing NLS
Dario Bambusi, Alberto Maiocchi, Luca Turri
We consider the nonlinear Schroedinger equation on the one dimensional torus, with a defocousing polynomial nonlinearity and study the dynamics corresponding to initial data in a s…
Existence and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equation
Dario Bambusi, Erwan Faou, Benoit Grebert
In this paper we study the long time behavior of a discrete approximation in time and space of the cubic nonlinear Schrödinger equation on the real line. More precisely, we conside…