Noise-induced stabilization of the Lorenz system

Abstract

The flip-flop process of the Lorenz system is described a a symbolic dynamical system, studied in the presence of noise, and quantified with a specific complexity measure. For small noise amplitudes the perturbation results in a generation of structure within the space of symbol sequences (discretized trajectories), corresponding to a stabilization of the flip-flop process. This noise-induced stabilization effect is investigated for different noise amplitudes, particularly in the case where noise is added locally.