Synchronization in delayed multiplex networks

Aradhana Singh*, Saptarshi Ghosh, Sarika Jalan, Juergen Kurths

*Corresponding author for this work

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We study the impact of multiplexing on the global phase synchronizability of different layers in the delayed coupled multiplex networks. We find that at strong couplings, the multiplexing induces the global synchronization in sparse networks. The introduction of global synchrony depends on the connection density of the layers being multiplexed, which further depends on the underlying network architecture. Moreover, multiplexing may lead to a transition from a quasi-periodic or chaotic evolution to a periodic evolution. For the periodic case, the multiplexing may lead to a change in the period of the dynamical evolution. Additionally, delay in the couplings may bring upon synchrony to those multiplex networks which do not exhibit synchronization for the undelayed evolution. Using a simple example of two globally connected layers forming a multiplex network, we show how delay brings upon a possibility for the inter-layer global synchrony, that is not possible for the undelayed evolution. editor's choice Copyright (C) EPLA, 2015

Original languageEnglish
Article number30010
Number of pages6
JournalEurophysics Letters
Volume111
Issue number3
Early online date28 Aug 2015
DOIs
Publication statusPublished - Aug 2015

Keywords

  • coupled map networks
  • complex networks
  • phase synchronization
  • oscillators
  • transitions

Cite this

Singh, A., Ghosh, S., Jalan, S., & Kurths, J. (2015). Synchronization in delayed multiplex networks. Europhysics Letters, 111(3), [30010]. https://doi.org/10.1209/0295-5075/111/30010