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Synchronization scenarios in three-layer networks with a hub

Sawicki, Jakub; Koulen, Julia M.; Schöll, Eckehard

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.
Published in: Chaos : an interdisciplinary journal of nonlinear science, 10.1063/5.0055835, AIP Publishing
  • 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. https://doi.org/10.1063/5.0055835 and may be found at https://doi.org/10.1063/5.0055835.