68 citations · 199 across the 21 of their papers we have counts for
24 papers
Long time stability for Lagrangian tori in infinite dimensional lattice systems
Livia Corsi, Michela Procesi
We consider a mechanical system of infinitely many rotators weakly interacting with each other and prove that the infinite dimensional invariant tori provided by \cite{CGP} are Lag…
Asymptotically full measure sets of almost-periodic solutions for the NLS equation
Luca Biasco, Livia Corsi, Guido Gentile +1
We study the dynamics of solutions for a family of nonlinear Schroedinger equations on the circle, with a smooth convolution potential and Gevrey regular initial data. Our main res…
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…
Analiticity of the Lyapunov exponents of perturbed toral automorphisms
Gian Marco Marin, Federico Bonetto, Livia Corsi
We consider a dynamical system generated by an analytic perturbation of an analytic Anosov diffeomorphism of $\TTT^d$. We show that, if admit a splittin…
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…