82 citations · 725 across the 56 of their papers we have counts for
57 papers
Almost-periodic solutions to the NLS equation with smooth convolution potentials
Livia Corsi, Guido Gentile, Michela Procesi
We consider the one-dimensional NLS equation with a convolution potential and a quintic nonlinearity. We prove that, for most choices of potentials with polynomially decreasing Fou…
Pseudo-synchronous solutions for dissipative non-autonomous systems
Michele Bartuccelli, Livia Corsi, Jonathan Deane +1
In the framework of KAM theory, the persistence of invariant tori in quasi-integrable systems is proved by assuming a non-resonance condition on the frequencies, such as the standa…
Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies
Guido Gentile, Faenia Vaia
We consider quasi-periodically systems in the presence of dissipation and study the existence of response solutions, i.e. quasi-periodic solutions with the same frequency vector as…
Power computation for the triboelectric nanogenerator
J. H. B. Deane, R. D. I. G. Dharmasena, G. Gentile
We consider, from a mathematical perspective, the power generated by a contact-mode triboelectric nanogenerator, an energy harvesting device that has been well studied recently. We…
Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension
Guido Gentile, Alessandro Mazzoccoli, Faenia Vaia
We consider a class of singular ordinary differential equations describing analytic systems of arbitrary finite dimension, subject to a quasi-periodic forcing term and in the prese…
Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque
Michele Bartuccelli, Jonathan Deane, Guido Gentile
Mercury is entrapped in a 3:2 resonance: it rotates on its axis three times for every two revolutions it makes around the Sun. It is generally accepted that this is due to the larg…