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Main Title: Synchronization scenarios in three-layer networks with a hub
Author(s): Sawicki, Jakub
Koulen, Julia M.
Schöll, Eckehard
Type: Article
Abstract: We study various relay synchronization scenarios in a three-layer network, where the middle (relay) layer is a single node, i.e., a hub. The two remote layers consist of non-locally coupled rings of FitzHugh–Nagumo oscillators modeling neuronal dynamics. All nodes of the remote layers are connected to the hub. The role of the hub and its importance for the existence of chimera states are investigated in dependence on the inter-layer coupling strength and inter-layer time delay. Tongue-like regions in the parameter plane exhibiting double chimeras, i.e., chimera states in the remote layers whose coherent cores are synchronized with each other, and salt-and-pepper states are found. At very low intra-layer coupling strength, when chimera states do not exist in single layers, these may be induced by the hub. Also, the influence of the dilution of links between the remote layers and the hub upon the dynamics is investigated. The greatest effect of dilution is observed when links to the coherent domain of the chimeras are removed.
Subject(s): chimera states
Issue Date: 2021
Date Available: 22-Dec-2021
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: DFG, 429685422, Kontrollierte Synchronisation in heterogenen Multischicht-Netzwerken
Journal Title: Chaos : an interdisciplinary journal of nonlinear science
Publisher: AIP Publishing
Volume: 13
Issue: 7
Article Number: 73131
Publisher DOI: 10.1063/5.0055835
EISSN: 1089-7682
ISSN: 1054-1500
Notes: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Sawicki, J., Koulen, J. M., & Schöll, E. (2021). Synchronization scenarios in three-layer networks with a hub. In Chaos: An Interdisciplinary Journal of Nonlinear Science (Vol. 31, Issue 7, p. 073131). AIP Publishing. and may be found at
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Theoretische Physik » FG Nichtlineare Dynamik und Kontrolle
Appears in Collections:Technische Universität Berlin » Publications

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