Projets par an
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 originale | Anglais |
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Editeur | Namur center for complex systems |
Nombre de pages | 5 |
Volume | 8 |
Edition | 14 |
Etat de la publication | Publié - 26 juin 2014 |
Série de publications
Nom | naXys Technical Report Series |
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Editeur | University of Namur |
Numéro | 2014 |
Volume | 8 |
Empreinte digitale
Examiner les sujets de recherche de « Turing patterns in multiplex networks ». Ensemble, ils forment une empreinte digitale unique.-
Reaction-diffusion equations: the role of geometry and granularity
Carletti, T. (Co-investigateur) & Fuzfa, A. (Co-investigateur)
3/10/11 → …
Projet: Recherche
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PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)
Winkin, J. (Co-investigateur), Blondel, V. (Responsable du Projet), Vandewalle, J. (Co-investigateur), Pintelon, R. M. (Co-investigateur), Sepulchre, R. (Co-investigateur), Vande Wouwer, A. (Co-investigateur) & Sartenaer, A. (Co-investigateur)
1/04/12 → 30/09/17
Projet: Recherche
Activités
- 1 Discours invité
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A journey in the zoo of Turing patterns
Carletti, T. (Orateur invité)
23 janv. 2024Activité: Discours ou présentation › Discours invité