Conditioned Lyapunov exponents for random dynamical systems

Conditioned Lyapunov exponents for random dynamical systems

We introduce the notion of Lyapunov exponents for random dynamical systems, conditioned to trajectories that stay within a bounded domain for asymptotically long times. We illustrate its use in the analysis of local bifurcations in systems with unbounded noise. Joint work with Maximilian Engel (TUM) and Martin Rasmussen (Imperial College London).