Noise-induced phenomena in random dynamical systems
Yuzuru Sato (Hokkaido University)

Noise-induced phenomena are caused by interactions between deterministic dynamics and external noise. When a transition occurs owing to small noise, the stationary distribution of the deterministic dynamical system is substantially altered, and the unobservable structure of the original dynamics be- comes observable. In such cases, nonlinear phenomena, which qualitatively differ from deterministic dynamics, emerge in the noised dynamics. This talk includes a brief review of classical noise-induced phenomena in statistical and nonlinear physics, such as noise-induced synchronization, stochastic resonance, noise-induced chaos, and noise-induced order, from random dynamical systems point of view. Recent results on multiple noise-induced transitions in one-dimensional maps and heteroge- neous noise-induced order in a class of high-dimensional dynamical systems are presented as well.