Synchronization in Delayed Multiplex Networks

Abstract

We study 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.

arXiv comment6 pages, 9 figures

References in corpus (17)

• Statistical mechanics of complex networks
• Synchronization in complex networks
• The structure and dynamics of multilayer networks
• Temporal Networks
• Spatial Networks
• Dynamical interplay between awareness and epidemic spreading in multiplex networks
• Time Delay Induced Death in Coupled Limit Cycle Oscillators
• Explosive synchronization in adaptive and multilayer networks
• Clustered chimera states in delay coupled oscillator systems
• Delays, connection topology, and synchronization of coupled chaotic maps
• Time-delayed feedback in neurosystems
• Synchronization of interconnected networks: the role of connector nodes
• Self-organized and driven phase synchronization in coupled maps
• Explosive transitions to synchronization in networked phase oscillators
• Synchronized clusters in coupled map networks: Self-organized and driven phase synchronization
• Role of delay in the mechanism of cluster formation
• Static and dynamic behavior of multiplex networks under interlink strength variation

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• Delay Regulated Explosive Synchronization in Multiplex Networks
• Multilayer Network Science: from Cells to Societies
• Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
• Interplay of Delay and multiplexing: Impact on Cluster Synchronization
• Engineering chimera patterns in networks using heterogeneous delays
• Controlling chaos in some laser systems via variable coupling and feedback time delay
• Inter-layer synchronization in non-identical multi-layer networks