Mirror node correlations tuning synchronization in multiplex networks

Anil Kumar, Murilo S. Baptista, Alexey Zaikin, and Sarika Jalan
Phys. Rev. E 96, 062301 – Published 4 December 2017

Abstract

We show that the degree-degree correlations have a major impact on global synchronizability (GS) of multiplex networks, enabling the specification of synchronizability by only changing the degree-degree correlations of the mirror nodes while maintaining the connection architecture of the individual layer unaltered. If individual layers have nodes that are mildly correlated, the multiplex network is best synchronizable when the mirror degrees are strongly negatively correlated. If individual layers have nodes with strong degree-degree correlations, mild correlations among the degrees of mirror nodes are the best strategy for the optimization of GS. Global synchronization also depend on the density of connections, a phenomenon not observed in a single layer network. The results are crucial to understand, predict, and specify behavior of systems having multiple types of connections among the interacting units.

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  • Received 29 June 2017

DOI:https://doi.org/10.1103/PhysRevE.96.062301

©2017 American Physical Society

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Authors & Affiliations

Anil Kumar1, Murilo S. Baptista2, Alexey Zaikin3,4, and Sarika Jalan1,5,*

  • 1Complex Systems Laboratory, Discipline of Physics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India
  • 2Institute of Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
  • 3Department of Mathematics, Institute for Women's Health, University College London, London WC1H 0AY, United Kingdom
  • 4Department of Applied Mathematics, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod 603950, Russia
  • 5Centre for Bio-Science and Bio-Medical Engineering, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India

  • *sarikajalan9@gmail.com

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Vol. 96, Iss. 6 — December 2017

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