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math.FA2005★ 1 cited
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.…
math.FA2002
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…