1 citations · 1 across the 5 of their papers we have counts for
5 papers
Maximal tori in infinite-dimensional Hamiltonian systems: a Renormalization Group approach
Livia Corsi, Guido Gentile, Michela Procesi
We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each other. We consider explicitly interact…
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…
Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the Modified Kuramoto-Sivashinky Equation in one and two space dimensions
Michele V. Bartuccelli, Jonathan H. Deane, Guido Gentile
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions…
Basins of attraction in forced systems with time-varying dissipation
James A. Wright, Jonathan H. B. Deane, Michele Bartuccelli +1
We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipa…
The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support
James A. Wright, Michele Bartuccelli, Guido Gentile
We consider a pendulum with vertically oscillating support and time-dependent damping coefficient which varies until reaching a finite final value. The sizes of the corresponding b…