### Résumé

langue originale | Anglais |
---|---|

Editeur | Namur center for complex systems |

Nombre de pages | 5 |

Volume | 8 |

Edition | 14 |

état | Publié - 26 juin 2014 |

### Série de publications

Nom | naXys Technical Report Series |
---|---|

Editeur | University of Namur |

Numéro | 2014 |

Volume | 8 |

### Empreinte digitale

### Citer ceci

*Turing patterns in multiplex networks*. (14 Ed.) (naXys Technical Report Series; Vol 8, Numéro 2014). Namur center for complex systems.

}

*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.

Résultats de recherche: Livre/Rapport/Revue › Autre 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

BT - Turing patterns in multiplex networks

PB - Namur center for complex systems

ER -