4.7 Article

Anti-phase relay synchronization of wave structures in a heterogeneous multiplex network of 2D lattices

期刊

CHAOS SOLITONS & FRACTALS
卷 143, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.110545

关键词

Synchronization; Multiplex networks; Spatiotemporal patterns; Chimera; 2D Lattice; Nonlocal coupling; Spiral wave; Target wave chimera

资金

  1. Russian Science Foundation [20-12-00119]
  2. Russian Science Foundation [20-12-00119] Funding Source: Russian Science Foundation

向作者/读者索取更多资源

This study investigates relay synchronization of wave structures in a heterogeneous three-layer network, with remote layers consisting of coupled van der Pol oscillators and a middle layer composed of FitzHugh-Nagumo neurons. It is shown that even weak inter-layer coupling can lead to anti-phase relay synchronization of target wave patterns in the network. Stronger inter-layer coupling results in in-phase synchronization of spatio-coherent structures in the network layers.
We explore numerically relay synchronization of wave structures in a heterogeneous three-layer network of coupled two-dimensional (2D) lattices of continuous-time systems. Remote layers, which are not directly connected but interact via a relay layer, consist of coupled van der Pol oscillators, while the middle layer is described by a lattice of interacting FitzHugh-Nagumo neurons. We show for the first time that already for weak inter-layer coupling, anti-phase relay synchronization of target wave patterns occurs in the considered network. This is a novel effect which can be observed in multiplex networks of interacting 2D lattices of oscillatory systems. Our numerical studies indicate that strong inter-layer coupling leads to in-phase synchronization of spatio-coherent structures in the network layers. We also analyze the impact of inter-layer coupling ranges in the relay and the remote layers on the relay synchronization effect. (c) 2020 Elsevier Ltd. All rights reserved.

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