Regensburg 2022 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 10: Nonlinear Dynamics 1: Synchronization and Chaos (joint session DY/SOE)
SOE 10.4: Vortrag
Dienstag, 6. September 2022, 12:00–12:15, H19
Suppression of quasiperiodicity in circle maps with quenched disorder — •David Müller-Bender1, Johann Luca Kastner1, and Günter Radons1,2 — 1Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — 2Institute of Mechatronics, 09126 Chemnitz, Germany
We show that introducing quenched disorder into a circle map leads to the suppression of quasiperiodic behavior in the limit of large system sizes. Specifically, for most parameters the fraction of disorder realizations showing quasiperiodicity decreases with the system size and eventually vanishes in the limit of infinite size, where almost all realizations show mode-locking. Consequently, in this limit, and in strong contrast to standard circle maps, almost the whole parameter space corresponding to invertible dynamics consists of Arnold tongues.
Details can be found in the preprint D. Müller-Bender, J. L. Kastner, and G. Radons, Suppression of quasiperiodicity in circle maps with quenched disorder, arXiv:2204.09392 [nlin.cd] (2022).