SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster: Nonlinear Dynamics, Pattern Formation and Networks

DY 45.5: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Antipersistent random walks in time-delayed systems — •Tony Albers¹, 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 the occurrence of chaotic diffusion in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term can be well described by an antipersistent random walk. We numerically investigate the dependence of all relevant quantities characterizing the random walk on the strength of the nonlinearity and on the delay. With the help of analytical considerations [1], we show that for a decreasing nonlinearity parameter the resulting dependence of the diffusion coefficient is well described by Markov processes of increasing order.

[1] Tony Albers, David Müller-Bender, and Günter Radons, Phys. Rev. E 105, 064212 (2022)