82 citations · 725 across the 56 of their papers we have counts for
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Resummation of perturbation series and reducibility for Bryuno skew-product flows
Guido Gentile
We consider skew-product systems on T^d x SL(2,R) for Bryuno base flows close to constant coefficients, depending on a parameter, in any dimension d, and we prove reducibility for…
Globally and locally attractive solutions for quasi-periodically forced systems
Michele V. Bartuccelli, Jonathan H. B. Deane, Guido Gentile
We consider a class of differential equations, , with , describing one-dimensional dissipative systems subject to a periodic or…
Fractional Lindstedt series
Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani
The parametric equations of the surfaces on which highly resonant quasi-periodic motions develop (lower-dimensional tori) cannot be analytically continued, in general, in the pertu…
Degenerate lower-dimensional tori under the Bryuno condition
Guido Gentile
We study the problem of conservation of maximal and lower-dimensional invariant tori for analytic convex quasi-integrable Hamiltonian systems. In the absence of perturbation the lo…
Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms
Guido Gentile, Michele V. Bartuccelli, Jonathan H. B. Deane
We consider a class of second order ordinary differential equations describing one-dimensional systems with a quasi-periodic analytic forcing term and in the presence of damping. A…