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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster: Nonlinear Dynamics, Pattern Formation and Networks

DY 33.13: Poster

Mittwoch, 20. März 2024, 15:00–18:00, Poster C

Chaotic Diffusion in Delay Systems: Transition to Anomalous Diffusion and Weak Ergodicity Breaking by Time Lag Modulation — •Tony Albers¹, Lukas Hille¹, David Müller-Bender¹, and Günter Radons^1,2 — ¹Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany — ²Institute for Mechanical and Industrial Engineering, Chemnitz, Germany

In this contribution, we show that in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term a transition from normal diffusion to anomalous diffusion and weak ergodicity breaking can be induced by a modulation of the delay time. This change is related to a transition from turbulent chaos to laminar chaos [1] and reveals a new kind of dynamical behavior consisting of a coexistence of turbulent and laminar phases alternating within one single time series. We investigate this transition in detail and its influence on the diffusive and ergodic properties of the system and the related occurrence of infinite densities. We show that some of the observed features in the system can be explained by low-dimensional iterated maps and appropriate stochastic models.

[1] David Müller, Andreas Otto, and Günter Radons, Phys. Rev. Lett. 120, 084102 (2018)

Keywords: Time Delay System; Laminar Chaos; Anomalous Diffusion; Weak Ergodicity Breaking; Infinite Density