118 citations · 271 across the 30 of their papers we have counts for
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Finite dimensional invariant KAM tori for tame vector fields
Livia Corsi, Roberto Feola, Michela Procesi
We discuss a Nash-Moser/ KAM algorithm for the construction of invariant tori for {\em tame} vector fields. Similar algorithms have been studied widely both in finite and infinite…
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…