Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Delay and Feedback Dynamics

DY 33.2: Talk

Tuesday, March 13, 2018, 14:15–14:30, BH-N 334

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

Time delay systems can be found in various fields such as engineering, biology and physics. In the scientific literature many results exist for systems with constant delay. However, in reality the delays are typically not constant but rather time-varying. Recently we found that there are two fundamental classes of time-varying delays [1, 2]. Systems with conservative delay are equivalent to systems with constant delay. On the other hand, there are systems with dissipative delay, which cannot be transformed to systems with constant delay and are associated with fundamentally different dynamic properties.

In this talk we show that nonlinear systems with large dissipative delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregular bursts. In particular, the output intensity during the laminar phases remains almost constant, but its level varies chaotically from phase to phase. The periodic dynamics of the lengths and the chaotic dynamics of the intensity levels can be understood and also tuned via two one-dimensional maps, which can be deduced from the nonlinearity of the delay equation and from the delay variation, respectively.

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

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