1 citations · 1 across the 6 of their papers we have counts for
7 papers
Nekhoroshev Theorem for time quasiperiodic perturbations of P-Steep systems
Dario Bambusi, Santiago Barbieri, Mar Giralt +1
We prove a Nekhoroshev type result for a time quasiperiodic perturbation of an integrable Hamiltonian system. More precisely, we assume that the integrable part is analytic and ful…
Existence and Nonexistence of Invariant Curves of Coin Billiards
Santiago Barbieri, Andrew Clarke
In this paper we consider the coin billiard introduced by M. Bialy. It is a modification of the classical billiard, obtained as the return map of a nonsmooth geodesic flow on a cyl…
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…
Bernstein-Remez inequality for Nash functions: A complex analytic approach
Santiago Barbieri, Laurent Niederman
Consider an open, bounded set , a positive integer and a compact of cardinality strictly greater than . We prove that, for any fu…
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 algebraic properties of exponentially stable integrable hamiltonian systems
Santiago Barbieri
Steepness is a geometric property which, together with complex-analyticity, is needed in order to insure stability of a near-integrable hamiltonian system over exponentially long t…
Sharp Nekhoroshev estimates for the three body problem around periodic orbits
Santiago Barbieri, Laurent Niederman
We construct a Nekhoroshev-like result of stability with sharp constants for the planar three body problem, both in the planetary and in the restricted circular case, by using the…