1 citations · 2 across the 3 of their papers we have counts for
8 papers
Cantor families of periodic solutions for completely resonant nonlinear wave equations
M. Berti, P. Bolle
We prove existence of small amplitude, $2π\slash \om$-periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions, for any frequen…
Bifurcation of free vibrations for completely resonant wave equations
M. Berti, P. Bolle
We prove existence of small amplitude, 2 pi/omega -periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency o…
Drift in phase space: a new variational mechanism with optimal diffusion time
Massimiliano Berti, Luca Biasco, Philippe Bolle
We consider non-isochronous, nearly integrable, a-priori unstable Hamiltonian systems with a (trigonometric polynomial) -perturbation which does not preserve the unperturbed…
Optimal stability and instability results for a class of nearly integrable Hamiltonian systems
Massimiliano Berti, Luca Biasco, Philippe Bolle
We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigonometric polynomial) -perturbation which does not preserve the unperturbed…
Fast Arnold Diffusion in three time scale systems
Massimiliano Berti, Philippe Bolle
We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian systems with three time scales. By means of a careful shadowing analysis, based…
Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems
Massimiliano Berti, Philippe Bolle
We consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusi…