Volume 111, Number 3, August 2015
|Number of page(s)||6|
|Published online||31 August 2015|
Synchronization in delayed multiplex networks
1 Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore - Khandwa Road, Indore-452017, India
2 Centre for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore - Khandwa Road, Indore-452017, India
3 Potsdam Institute for Climate Impact Research - P.O. Box 601203, D-14412 Potsdam
4 Institute for Complex Systems and Mathematical Biology, University of Aberdeen - Aberdeen AB24 3FX, UK
Received: 11 June 2015
Accepted: 28 July 2015
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.Pq – Numerical simulations of chaotic systems
© EPLA, 2015
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