Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster Session: Nonlinear Dynamics, Pattern Formation, Data Analytics and Machine Learning

DY 45.3: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Chaotic Diffusion in Delay Systems: Giant Enhancement by Time Lag Modulation — •Tony Albers, David Müller-Bender, Lukas Hille, and Günter Radons — Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany

We consider a typical class of systems with delayed nonlinearity, which we show to exhibit chaotic diffusion. It is demonstrated that a periodic modulation of the time-lag can lead to an enhancement of the diffusion constant by several orders of magnitude. This effect is the largest if the circle map defined by the modulation shows mode locking and more specifically, fulfills the conditions for laminar chaos. Thus we establish for the first time a connection between Arnold tongue structures in parameter space and diffusive properties of a delay system. Counterintuitively, the enhancement of diffusion is accompanied by a strong reduction of the effective dimensionality of the system.

Details can be found in: T. Albers, D. Müller-Bender, L. Hille, and G. Radons, Phys. Rev. Lett. 128, 074101 (2022)