Turing patterns in multiplex networks

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

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

Résumé

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.

langue originaleAnglais
Numéro d'article042814
journalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Numéro de publication4
Les DOIs
Etat de la publicationPublié - 27 oct. 2014

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