Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 8: Focus Session: Nonlinear Dynamics and Stochastic Processes – Advances in Theory and Applications II
Monday, March 17, 2025, 15:00–18:30, H43
Deterministic chaos and stochastic processes are often seen as opposites. However, not only do they share the aspect of being mechanisms for irregular temporal fluctuations, but more importantly, the theory of stochastic processes has helped to understand and quantify many aspects of chaos. Deterministic diffusion, intermittency, long-range temporal correlations can be generated by simple deterministic systems, but are conveniently characterized by concepts of stochastic processes. In both classes of systems, the inclusion of time delays in feedbacks through memory kernels has introduced additional phenomena, and more recently non-normalizable distributions have been found as causes of ageing. While a unified approach to chaos and stochastics is fascinating and satisfying from a theoretical point of view, it also has surprisingly strong application relevance. Examples include the study of turbulence, the nonlinear dynamics of wind turbines, industrial processes for metal milling and turning, laser dynamics, cardiac dynamics, and neuronal systems.
Organized by Robert Magerle (Chemnitz) and Holger Kantz (Dresden)
