11 citations · 27 across the 16 of their papers we have counts for
9 papers · 1 filter
Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
Jessica Elisa Massetti, Michela Procesi, Laurent Stolovitch
In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at . Under suitable hypotheses we prove the existence of analytic…
Attractive invariant circles à la Chenciner
Jessica Elisa Massetti
Studying general perturbations of a dissipative twist map depending on two parameters, a frequency and a dissipation , the existence of a Cantor set of curves i…
Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
In this paper we prove the first result of Nekhoroshev stability for steep Hamiltonians in Hölder class. Our new approach combines the classical theory of normal forms in analytic…
On the fragility of periodic tori for families of symplectic twist maps
Marie-Claude Arnaud, Jessica Elisa Massetti, Alfonso Sorrentino
In this article we study the fragility of Lagrangian periodic tori for symplectic twist maps of the -dimensional annulus and prove a rigidity result for completely integrable o…
Flexibility and analytic smoothing in averaging theory
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
Using a new strategy, we extend the classical Nekhoroshev's estimates to the case of Hölder regular steep near-integrable hamiltonian systems, the stability times being polynomiall…
On the rigidity of integrable deformations of twist maps and Hamiltonian flows
Jessica Elisa Massetti, Alfonso Sorrentino
In this article we investigate rigidity properties of integrable area-preserving twist maps of the cylinder. More specifically, we prove that if a deformation of the standard integ…
Normal form à la Moser for diffeomorphisms and generalization of Rüssmann's translated curve theorem to higher dimension
Jessica Elisa Massetti
We prove a discrete time analogue of 1967 Moser's normal form of real analytic perturbations of vector fields possessing an invariant, reducible, Diophantine torus; in the case of…
The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles
Jessica Elisa Massetti
In this paper we start a global study of the parameter space (dissipation, perturbation, frequency) of the dissipative spin-orbit problem in Celestial Mechanics with the aim of del…
Normal forms for perturbations of systems possessing a Diophantine invariant torus
Jessica Elisa Massetti
In 1967 Moser proved the existence of a normal form for real analytic perturbations of vector fields possessing a reducible Diophantine invariant quasi-periodic torus. In this pape…