Regensburg 2025 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Focus Session: Nonlinear Dynamics and Stochastic Processes – Advances in Theory and Applications II

DY 8.9: Vortrag

Montag, 17. März 2025, 17:45–18:00, H43

Generalizations of laminar chaos — •David Müller-Bender — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

Laminar chaos was originally discovered in scalar dynamical systems with a large periodically time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)]. This demonstrated how drastically a temporal modulation of the delay can change the dynamics of a system as laminar chaos is an extremely low-dimensional dynamics compared to turbulent chaos, which is observed in such systems with constant delay. In this talk, I give an overview of recent generalizations of laminar chaos to systems with quasiperiodic [Phys. Rev. E 107, 014205 (2023)], random and chaotic delay time modulation. Using a connection to spatially disordered circle maps [Phys. Rev. E 106, L012202 (2022)], it is found that short-time correlated random and chaotic delays lead to low-dimensional generalized laminar chaos in almost the whole delay parameter space spanned by the mean delay and the delay amplitude. This is in stark contrast to the case of a constant delay, where only high-dimensional turbulent chaos is found. Finally, an outlook on laminar chaos in systems with state-dependent delay is given. I acknowledge the contributions of the late Günter Radons to these results.

Keywords: nonlinear dynamics; chaos; delay; disorder