Noise-induced phenomena in high dimensions

Yuzuru Sato

Noise-induced phenomena emerge from the interplay between deterministic dynamics and external noise. Even weak noise can trigger transitions that substantially reshape the stationary distribution of a deterministic system, revealing hidden structures in the original dynamics. In such regimes, qualitatively new nonlinear behaviors—absent in the noiseless system—can arise. This talk provides a brief review of classical noise-induced effects in statistical and nonlinear physics, and presents recent results, including: (1) multiple noise-induced transitions in Lasota–Mackey maps, (2) heterogeneous noise-induced order in generalized Hénon maps, (3) chaotic stochastic resonance in Mackey–Glass equations, and (4) stochastic bifurcation of collective motion in globally coupled maps with large degrees of freedom.