A topological mechanism of superdiffusion on duplex networks

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

6 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)556-563
Journal / PublicationIEEE Transactions on Control of Network Systems
Volume10
Issue number2
Online published25 Jan 2022
Publication statusPublished - Jun 2023

Abstract

Superdiffusion is an interesting phenomenon from both theoretical and practical perspectives. We propose a sufficient condition for the occurrence of superdiffusion on duplex networks by applying the generating functionology from combinatorial mathematics. Our result indicates that, with fixed values of intra-layer diffusion constants, superdiffusion emerges from a certain combination of different network topologies, which provides a topological mechanism to regulate the whole diffusion process. On a more general ground, we provide two inter-layer linking strategies to expand the applicability of the above topological mechanism on real-world networks, and construct a class of specific duplex networks on which superdiffusion occurs. We further verify that diffusion with negative inter-layer correlation is faster than those with positive correlation from a typical duplex structure. Given the ubiquity of diffusion in the real world, our results constitute a significant step toward a better understanding of superdiffusion processes on multiplex networks. © 2022 IEEE.

Research Area(s)

  • Correlation, Couplings, duplex networks, Eigenvalues and eigenfunctions, Laplace equations, Multiplexing, Network systems, network topology, superdiffusion, Transforms

Citation Format(s)

A topological mechanism of superdiffusion on duplex networks. / Wei, Juan; Wu, Xiaoqun; Lu, Jun-an et al.
In: IEEE Transactions on Control of Network Systems, Vol. 10, No. 2, 06.2023, p. 556-563.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review