In dynamical systems with periodic attractors which have just emerged from a saddle-node bifurcation the addition of weak noise may induced behaviour. This is accompanied by two remarkable observable effects: noise-induced attractor explosion and noise-induced intermittency. The theory of quasipotentials is used to explain qualitative and universal aspects of these phenomena. The influence of the noise-distribution and its observational implications are discussed.
ASJC Scopus subject areas
- Physics and Astronomy(all)