Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Nonlinear Dynamics, Synchronization and Chaos

DY 6.3: Talk

Monday, March 16, 2020, 10:30–10:45, ZEU 147

Laminar Chaos in Experiments: Nonlinear Systems with Time-Varying Delays and Noise — Joseph D. Hart^1,2, Rajarshi Roy^1,2,3, •David Müller-Bender⁴, Andreas Otto⁴, and Günter Radons⁴ — ¹Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA — ²Department of Physics, University of Maryland, College Park, Maryland 20742, USA — ³Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA — ⁴Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

A new type of dynamics called laminar chaos was discovered theoretically in scalar systems with time-varying delay [1]. It is a low-dimensional dynamics characterized by laminar phases of nearly constant intensity with periodic durations and a chaotic variation of the intensity from phase to phase. This is in contrast to the typically observed higher-dimensional turbulent chaos, which is characterized by strong fluctuations. In our present work [2] we provide the first experimental observation of laminar chaos by studying an optoelectronic setup. The noise inherent in the experiment requires the development of a nonlinear Langevin equation with variable delay. We show that laminar chaos can be observed in higher-order systems, and that it is robust to noise and a digital implementation of the variable time delay.

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

[2] Hart, Roy, Müller-Bender, Otto, and Radons, Phys. Rev. Lett. 123, 154101 (2019).