Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 41: Poster: Nonlinear Dynamics, Granular Matter, and Machine Learning

DY 41.7: Poster

Wednesday, March 11, 2026, 15:00–18:00, P5

Laminar chaos in systems with state-dependent delay — •David Müller-Bender — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

Laminar chaos, an extremely low-dimensional form of chaotic dynamics, was originally discovered in time-delay systems with large, periodically time-varying delays [Phys. Rev. Lett. 120, 084102 (2018)]. In contrast, the same systems with constant delay exhibit high-dimensional turbulent chaos. Laminar chaos therefore provides a clear example of how temporal modulation of the delay can drastically change the dynamics of a time-delay system. While turbulent chaos is characterized by strong high-frequency oscillations, laminar chaos shows nearly constant laminar phases, whose intensity levels follow the dynamics of a chaotic one-dimensional iterated map.

Following a bottom-up approach, we subsequently investigated systems with quasiperiodic [Phys. Rev. E 107, 014205 (2023)], random, and chaotically time-varying delays [Phys. Rev. E 112, 064203 (2025)], thereby stepwise increasing the generality of the delay variation and building on insights from the preceding cases. In the present work, we consider the case of state-dependent delays and present first results, demonstrating that laminar chaos can also be observed in such systems.

Keywords: nonlinear dynamics; chaos; delay; feedback