Turing patterns in multiplex networks

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

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Abstract

The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as 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 an 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
PublisherNamur center for complex systems
Number of pages5
Volume8
Edition14
Publication statusPublished - 26 Jun 2014

Publication series

NamenaXys Technical Report Series
PublisherUniversity of Namur
No.2014
Volume8

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Keywords

  • multiplex
  • turing patterns
  • Dynamical systems
  • reaction-diffusion

Cite this

Asllani, M., Busiello, D., Carletti, T., Fanelli, D., & Planchon, G. (2014). Turing patterns in multiplex networks. (14 ed.) (naXys Technical Report Series; Vol. 8, No. 2014). Namur center for complex systems.