Impact of noise on the dynamics of non-Markovian systems (C10*)

• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 425217212

This project aims to systematically quantify the effects of non-Markovian noise in nonlinear stochastic dynamics with the main focus on bifurcations and noise-induced phenomena such as delay of bifurcations, metastability, and chaos. In order to detect, anticipate, and calculate the distance toward bifurcation points, we rely on the theory of early warning sign, which can be observed by an increasing variance/autocorrelation of the corresponding dynamical system. One of the novelties is to incorporate non-Markovian fluctuations into the models, including colored noise, fractional Brownian motion, and the Rosenblatt process.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1432: Fluctuations and Nonlinearities in Classical and Quantum Matter beyond Equilibrium
• Applicant Institution: Universität Konstanz
• Project Head: Professorin Dr. Alexandra Blessing