Optimization of synchronizability in multiplex networks by rewiring one layer

Sanjiv K. Dwivedi, Murilo S. Baptista, Sarika Jalan

Research output: Contribution to journalArticle

11 Citations (Scopus)
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Abstract

The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modelling real-world complex systems. In this work, we investigate the optimization of synchronizability in multiplex networks by evolving only one layer while keeping other layers fixed. Our main finding is to show the conditions under which the efficiency of convergence to the most optimal structure is almost as good as the case where both layers are rewired during an optimization process. In particular, inter-layer coupling strength responsible for the integration between the layers turns out to be crucial factor governing the efficiency of optimization even for the cases when the layer going through the evolution has nodes interacting much weakly than those in the fixed layer. Additionally, we investigate the dependency of synchronizability on the rewiring probability which governs the network structure from a regular lattice to the random networks. The efficiency of the optimization process preceding evolution driven by the optimization process is maximum when the fixed layer has regular architecture, whereas the optimized network is more synchronizable for the fixed layer having the rewiring probability lying between the small-world transition and the random structure.
Original languageEnglish
Article number040301
Pages (from-to)1-5
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume95
Issue number4
DOIs
Publication statusPublished - 27 Apr 2017

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optimization
Optimization
Process Optimization
Random Structure
Small World
Random Networks
complex systems
Network Structure
Complex Systems
Vertex of a graph
Modeling
Framework

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

Cite this

Optimization of synchronizability in multiplex networks by rewiring one layer. / Dwivedi, Sanjiv K. ; Baptista, Murilo S.; Jalan, Sarika.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 95, No. 4, 040301, 27.04.2017, p. 1-5.

Research output: Contribution to journalArticle

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