Homogeneous-per-layer patterns in multiplex networks

Daniel M. Busiello, Timoteo Carletti, Duccio Fanelli

Research output: Contribution to journalArticle

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.
LanguageEnglish
Pages48006-p1 - p7
Number of pages7
JournalEurophysics Letters
Volume121
DOIs
StatePublished - 4 Feb 2018

Fingerprint

diffusion coefficient
diagrams
perturbation

Keywords

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

Cite this

Busiello, Daniel M. ; Carletti, Timoteo ; Fanelli, Duccio. / Homogeneous-per-layer patterns in multiplex networks. In: Europhysics Letters. 2018 ; Vol. 121. pp. 48006-p1 - p7
@article{f0373e883d2e41148a6540dd90620c85,
title = "Homogeneous-per-layer patterns in multiplex networks",
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 {\`a} 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.",
keywords = "turing patterns, dynamical systems, reaction diffusion, complex network",
author = "Busiello, {Daniel M.} and Timoteo Carletti and Duccio Fanelli",
year = "2018",
month = "2",
day = "4",
doi = "https://doi.org/10.1209/0295-5075/121/48006",
language = "English",
volume = "121",
pages = "48006--p1 -- p7",
journal = "Europhysics Letters",
issn = "0295-5075",
publisher = "IOP Publishing Ltd.",

}

Homogeneous-per-layer patterns in multiplex networks. / Busiello, Daniel M.; Carletti, Timoteo; Fanelli, Duccio.

In: Europhysics Letters, Vol. 121, 04.02.2018, p. 48006-p1 - p7.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Homogeneous-per-layer patterns in multiplex networks

AU - Busiello,Daniel M.

AU - Carletti,Timoteo

AU - Fanelli,Duccio

PY - 2018/2/4

Y1 - 2018/2/4

N2 - 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.

AB - 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.

KW - turing patterns

KW - dynamical systems

KW - reaction diffusion

KW - complex network

U2 - https://doi.org/10.1209/0295-5075/121/48006

DO - https://doi.org/10.1209/0295-5075/121/48006

M3 - Article

VL - 121

SP - 48006-p1 - p7

JO - Europhysics Letters

T2 - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

ER -