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The European Physical Journal Special Topics

, Volume 227, Issue 10–11, pp 1161–1171 | Cite as

Synchronization scenarios of chimeras in multiplex networks

  • Jakub Sawicki
  • Iryna Omelchenko
  • Anna Zakharova
  • Eckehard SchöllEmail author
Regular Article
Part of the following topical collections:
  1. Advances in Nonlinear Dynamics of Complex Networks: Adaptivity, Stochasticity, Delays

Abstract

Complex networks consisting of several interacting layers allow for remote synchronization of distant layers via an intermediate relay layer. We extend the notion of relay synchronization to chimera states, and study the scenarios of relay synchronization in a three-layer network of FitzHugh–Nagumo (FHN) oscillators, where each layer has a nonlocal coupling topology. Varying the coupling strength and time delay in the inter-layer connections, we observe relay synchronization between chimera states, i.e., complex spatio-temporal patterns of coexisting coherent and incoherent domains, in the outer network layers. Special regimes where only the coherent domains of chimeras are synchronized, and the incoherent domains remain desynchronized, as well as transitions between different synchronization regimes are analyzed.

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Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Jakub Sawicki
    • 1
  • Iryna Omelchenko
    • 1
  • Anna Zakharova
    • 1
  • Eckehard Schöll
    • 1
    Email author
  1. 1.Institut für Theoretische PhysikTechnische Universität BerlinBerlinGermany

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