Noise-induced phenomena in random dynamical systems

Date: Tuesday 30th September, 2025

Abstract

Noise-induced phenomena emerge from the interplay between deterministic dynamics and external noise. When small noise triggers a transition, the stationary distribution of the underlying deterministic system can be substantially modified, allowing hidden structures of the original dynamics to become observable. In such cases, qualitatively new nonlinear behaviors arise in the noised dynamics, distinct from those of the noise-free systems.　This talk will provide a concise review of classical noise-induced effects in statistical and nonlinear physics, and present our recent results, including: 1. Multiple noise-induced transitions in Lasota–Mackey maps, 2. Chaotic stochastic resonance in Mackey–Glass equations, and 3. Stochastic bifurcations of collective motion in globally coupled maps with large degrees of freedom.