Special Session 16: Celestial Mechanics and Hamiltonian Systems

Energy drift in randomly perturbed Hamiltonian systems

Anna Maria Cherubini
Universita` del Salento
Italy
Co-Author(s):    Marian Gidea
Abstract:
It is well known that, generically, integrable Hamiltonian systems subjected to small, time-dependent perturbations, generate some orbits that experience significant energy growth. In this work, we study the effect of random time-dependent perturbations on integrable Hamiltonian systems, in order extend results on the \it{Arnold diffusion problem} to the context of random dynamical systems.