86 citations · 197 across the 14 of their papers we have counts for
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math.AP2002★ 59 cited
Periodic solutions of nonlinear wave equations with general nonlinearities
Massimiliano Berti, Philippe Bolle
We prove the existence of small amplitude periodic solutions, with strongly irrational frequency $ \om $ close to one, for completely resonant nonlinear wave equations. We provide…
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…
math.DS2002★ 7 cited
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…