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Effect of topology upon relay synchronization in triplex neuronal networks

Drauschke, Fenja; Sawicki, Jakub; Berner, Rico; Omelchenko, Iryna; Schöll, Eckehard

Relay synchronization in complex networks is characterized by the synchronization of remote parts of the network due to their interaction via a relay. In multilayer networks, distant layers that are not connected directly can synchronize due to signal propagation via relay layers. In this work, we investigate relay synchronization of partial synchronization patterns like chimera states in three-layer networks of interacting FitzHugh–Nagumo oscillators. We demonstrate that the phenomenon of relay synchronization is robust to topological random inhomogeneities of small-world type in the layer networks. We show that including randomness in the connectivity structure either of the remote network layers or of the relay layer increases the range of interlayer coupling strength where relay synchronization can be observed.
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science, 10.1063/5.0008341, American Institute of Physics (AIP)
  • 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 Chaos 30, 051104 (2020) and may be found at https://doi.org/10.1063/5.0008341.