Turing patterns in multiplex networks

Malbor Asllani, Daniel M. Busiello, Timoteo Carletti, Duccio Fanelli, Gwendoline Planchon

Research output: Contribution to journalArticle

Abstract

The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The interlayer diffusion constants act as a small parameter in the expansion and the unperturbed state coincides with the limiting setting where the multiplex layers are decoupled. The interaction between adjacent layers can seed the instability of a homogeneous fixed point, yielding self-organized patterns which are instead impeded in the limit of decoupled layers. Patterns on individual layers can also fade away due to cross-talking between layers. Analytical results are compared to direct simulations.

Original languageEnglish
Article number042814
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number4
DOIs
Publication statusPublished - 27 Oct 2014

Keywords

  • turing patter
  • networks
  • multiplex networks
  • reaction-diffusion
  • non linear dynamics

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  • Projects

    Activities

    • 4 Participation in workshop, seminar, course
    • 3 Participation in conference
    • 1 Participation to a Symposium, a study Day

    Control of self-organized patterns in complex networks

    Timoteo Carletti (Organiser)

    18 Jul 2017

    Activity: Participating in or organising an event typesParticipation in workshop, seminar, course

    Control of self-organized patterns in complex networks

    Timoteo Carletti (Speaker)

    18 Jul 2017

    Activity: Participating in or organising an event typesParticipation in workshop, seminar, course

    IAP VIII / 19 DYSCO - Dynamical SYStems Control and Optimization DYSCO Study day

    Timoteo Carletti (Speaker)

    1 Dec 2016

    Activity: Participating in or organising an event typesParticipation to a Symposium, a study Day

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