2 papers
math.DS2020
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…
math-ph2018
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…