68 citations · 199 across the 21 of their papers we have counts for
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Domains of analyticity for response solutions in strongly dissipative forced systems
Livia Corsi, Roberto Feola, Guido Gentile
We study the ordinary differential equation $\varepsilon\ddot x + \dot x + \varepsilon g(x) = \e f(ωt)$, where and are real-analytic functions, with quasi-periodic in $…
Convergent series for quasi-periodically forced strongly dissipative systems
Livia Corsi, Roberto Feola, Guido Gentile
We study the ordinary differential equation , with and analytic and quasi-periodic in with f…
Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions
Livia Corsi, Roberto Feola, Guido Gentile
We consider a class of quasi-integrable Hamiltonian systems obtained by adding to a non-convex Hamiltonian function of an integrable system a perturbation depending only on the ang…
Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
Livia Corsi, Guido Gentile
We consider one-dimensional systems in the presence of a quasi-periodic perturbation, in the analytical setting, and study the problem of existence of quasi-periodic solutions whic…