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DY: Fachverband Dynamik und Statistische Physik

DY 18: Pattern Formation, Delay and Nonlinear Stochastic Systems

DY 18.7: Talk

Tuesday, March 19, 2024, 11:30–11:45, BH-N 128

Laminar chaos in systems with random delay — •David Müller-Bender¹ and Günter Radons^1,2 — ¹Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — ²ICM - Institute for Mechanical and Industrial Engineering, 09117 Chemnitz, Germany

A type of chaos called laminar chaos was found in singularly perturbed dynamical systems with periodically time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)]. It is characterized by nearly constant laminar phases, which are interrupted by irregular bursts, where the intensity levels of the laminar phases vary chaotically from phase to phase. While laminar chaos, which is observed in systems with a so-called dissipative delay, is a low-dimensional phenomenon, its counterpart called turbulent chaos is a high-dimensional type of chaos, which is typically found in systems with conservative (including constant) delays. In this talk, we demonstrate that laminar chaos can also be found in systems with randomly time-varying delay. Moreover, for short time correlated random delay variations it turned out that laminar chaos and its generalizations are observed in almost the whole delay parameter space spanned by the mean delay and the delay amplitude. This means that introducing such a random delay variation into the considered class of systems typically leads to a drastic reduction of the dimension of the chaotic attractor.

Keywords: nonlinear dynamics; chaos; randomly time-varying delay; disorder; Kaplan–Yorke dimension