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math.DS2026
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…
math.DS2024
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…
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…