Turing patterns in multiplex networks

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

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Résumé

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.
langue originaleAnglais
EditeurNamur center for complex systems
Nombre de pages5
Volume8
Edition14
Etat de la publicationPublié - 26 juin 2014

Série de publications

NomnaXys Technical Report Series
EditeurUniversity of Namur
Numéro2014
Volume8

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