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Optimization of synchronizability in multiplex networks by rewiring one layer

Sanjiv K. Dwivedi1, Murilo S. Baptista2, and Sarika Jalan1,3

  • 1Complex Systems Lab, Physics Discipline, Indian Institute of Technology Indore, Khandwa Road, Indore 453552, India
  • 2Institute of Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
  • 3Center for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Khandwa Road, Indore 453552, India

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Phys. Rev. E 95, 040301(R) – Published 27 April, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.040301

Abstract

The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modeling 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, interlayer coupling strength responsible for the integration between the layers turns out to be a crucial factor governing the efficiency of optimization even for the cases when the layer going through the evolution has nodes interacting much more 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.

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Phys. Rev. E 95, 040301(R)– Published 27 April, 2017
  • Received 31 December 2016

©2017 American Physical Society

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