We analyze some noise effects on Hamiltonian Dynamics. In particular, we focus in the paradigmatic Henon-Heiles Hamiltonian system where we study the effect of noise in the escapes from the potential. Furthermore, we develop some techniques such as probability basins aiming to quantify the unpredictability of the noisy Hamiltonians.
This is a joint work with A. R. Nieto and J.M. Seoane from URJC, Spain.