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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.
