82 citations · 725 across the 56 of their papers we have counts for
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Stability for quasi-periodically perturbed Hill's equations
Guido Gentile, Daniel A. Cortez, Joao C. A. Barata
We consider a perturbed Hill's equation of the form , where is real analytic and periodic, is real analytic and quasi-periodic…
Conservation of resonant periodic solutions for the one-dimensional nonlinear Schroedinger equation
Guido Gentile, Michela Procesi
We consider the one-dimensional nonlinear Schrödinger equation with Dirichlet boundary conditions in the fully resonant case (absence of the zero-mass term). We investigate conserv…
Breakdown of Lindstedt Expansion for Chaotic Maps
Guido Gentile, Titus S. van Erp
In a previous paper of one of us [Europhys. Lett. 59 (2002), 330--336] the validity of Greene's method for determining the critical constant of the standard map (SM) was questioned…
Degenerate elliptic resonances
Guido Gentile Giovanni Gallavotti
Quasi-periodic motions on invariant tori of an integrable system of dimension smaller than half the phase space dimension may continue to exists after small perturbations. The para…
Periodic solutions for completely resonant nonlinear wave equations
Guido Gentile, Vieri Mastropietro, Michela Procesi
We consider the nonlinear string equation with Dirichlet boundary conditions , with odd and analytic, , and we construct small…