Turing patterns in multiplex networks

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

Résultats de recherche: Livre/Rapport/RevueAutre rapport

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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
étatPublié - 26 juin 2014

Série de publications

NomnaXys Technical Report Series
EditeurUniversity of Namur
Numéro2014
Volume8

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Asllani, M., Busiello, D., Carletti, T., Fanelli, D., & Planchon, G. (2014). Turing patterns in multiplex networks. (14 Ed.) (naXys Technical Report Series; Vol 8, Numéro 2014). Namur center for complex systems.
Asllani, Malbor ; Busiello, Daniel ; Carletti, Timoteo ; Fanelli, Duccio ; Planchon, Gwendoline. / Turing patterns in multiplex networks. 14 Ed. Namur center for complex systems, 2014. 5 p. (naXys Technical Report Series; 2014).
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Asllani, M, Busiello, D, Carletti, T, Fanelli, D & Planchon, G 2014, Turing patterns in multiplex networks. naXys Technical Report Series, Numéro 2014, VOL. 8, VOL. 8, 14 edn, Namur center for complex systems.

Turing patterns in multiplex networks. / Asllani, Malbor; Busiello, Daniel; Carletti, Timoteo; Fanelli, Duccio; Planchon, Gwendoline.

14 Ed. Namur center for complex systems, 2014. 5 p. (naXys Technical Report Series; Vol 8, Numéro 2014).

Résultats de recherche: Livre/Rapport/RevueAutre rapport

TY - BOOK

T1 - Turing patterns in multiplex networks

AU - Asllani, Malbor

AU - Busiello, Daniel

AU - Carletti, Timoteo

AU - Fanelli, Duccio

AU - Planchon, Gwendoline

PY - 2014/6/26

Y1 - 2014/6/26

N2 - 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.

AB - 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.

KW - multiplex

KW - turing patterns

KW - Dynamical systems

KW - reaction-diffusion

M3 - Other report

VL - 8

T3 - naXys Technical Report Series

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Asllani M, Busiello D, Carletti T, Fanelli D, Planchon G. Turing patterns in multiplex networks. 14 Ed. Namur center for complex systems, 2014. 5 p. (naXys Technical Report Series; 2014).