1 citations · 4 across the 6 of their papers we have counts for
11 papers
Quasi-periodic solutions of completely resonant forced wave equations
Massimiliano Berti, Michela Procesi
We prove existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear wave equations with periodic spatial boundary conditions.…
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…
A Birkhoff--Lewis Type Theorem for Some Hamiltonian Pdes
Dario Bambusi, Massimiliano Berti
In this paper we give an extension of the Birkhoff--Lewis theorem to some semilinear PDEs. Accordingly we prove existence of infinitely many periodic orbits with large period accum…
Periodic orbits close to elliptic tori and applications to the three-body problem
Massimiliano Berti, Luca Biasco, Enrico Valdinoci
We prove, under suitable non-resonance and non-degeneracy ``twist'' conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with large…
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…