The statistics of Poincaré recurrence times in Hamiltonian systems typically shows a power-
law decay with chaotic trajectories sticking to some phase-space regions for long times. For …

In this paper, the experimental results of the recent dynamic aperture at top energy for the
CERN Large Hadron Collider are analysed by means of a diffusion model whose novelty …

In this paper, we review diffusion phenomena in stochastically perturbed Hamiltonian
systems, with the aim of defining the framework to use Nekhoroshev-like estimates as …

Higher-dimensional Hamiltonian systems usually exhibit a mixed phase space in which
regular and chaotic motion coexist. While regular trajectories are confined to regular tori …

In the design phase and simulation of a circular accelerator, it is fundamental to have a
proper understanding of the single-particle non-linear betatronic motion, and of how such …