Description:

This talk will present recent results concerning the dynamics of weakly dissipative Hamiltonian systems submitted to stochastic perturbations. The probability of noise-induced separatrix crossing, which drastically changes the fate of the system, will be derived analytically in the case where noise is an additive Kubo-Anderson process. This theory shows how the geometry of the separatrix, as well as the noise intensity and correlation time, affect the statistics of crossing. Results will be applied to inertial particle dynamics, to bacterial transport modeling, as well as stochastic pendulum dynamics.

Jean-Regis Angilella, Professor of Mechanics and Mathematics, University of Caen, Normandie

Host: Adilson Motter