Homogeneous-per-layer patterns in multiplex networks

Daniel M. Busiello, Timoteo Carletti, Duccio Fanelli

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Abstract

A new class of patterns for multiplex networks is studied, which consists in a collection of different homogeneous states each referred to a distinct layer. The associated stability diagram exhibits a tricritical point, as a function of the inter-layer diffusion coefficients. The patterns, made of alternating homogeneous layers of networks, are dynamically selected via non-homogeneous perturbations superposed to the underlying, globally homogeneous, fixed point and by properly modulating the coupling strength between layers. Furthermore, layer-homogeneous fixed points can turn unstable following a mechanism à la Turing, instigated by the intra-layer diffusion. This novel class of solutions enriches the spectrum of dynamical phenomena as displayed within the variegated realm of multiplex science.
Original languageEnglish
Pages (from-to)48006-p1 - p7
Number of pages7
JournalEurophysics Letters
Volume121
DOIs
Publication statusPublished - 4 Feb 2018

Keywords

  • turing patterns
  • dynamical systems
  • reaction diffusion
  • complex network

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    PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)

    WINKIN, J., Blondel, V., Vandewalle, J., Pintelon, R., Sepulchre, R., Vande Wouwer, A. & SARTENAER, A.

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