Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Complex Systems

DY 19.5: Talk

Tuesday, April 2, 2019, 12:45–13:00, H6

Laminar chaos in nonlinear delayed Langevin equations — •David Müller, Andreas Otto, and Günter Radons — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

Due to environmental fluctuations, delays in nature are typically not constant but rather time-varying. Time-varying delays can be divided into different classes, which lead to different types of dynamics in the delay system [1,2]. Laminar chaos, for example, is a recently discovered type of chaotic dynamics, which arises in systems with a so-called dissipative delay [3]. It is characterized by nearly constant laminar phases, which are periodically interrupted by burst-like transitions. The intensity levels of these phases are connected by an iterated map, which can be derived from to the nonlinearity of the delay equation.

In this talk, we analyze laminar chaotic dynamics in the presence of noise. We derive robust features of laminar chaos, which persist even for relatively large noise strengths, where it is difficult to classify the time-series visually as laminar chaos. These features are exploited to provide a toolbox for the detection and the analysis of laminar chaos in experimental time-series, where noise is always present. We demonstrate that the nonlinearity of the delay equation and certain properties of the time-varying delay can be reconstructed easily, even for relatively strong noise.

[1] Otto, Müller, and Radons, Phys. Rev. Lett. 118, 044104 (2017).

[2] Müller, Otto, and Radons, Phys. Rev. E 95, 062214 (2017).

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