Projets par an
Résumé
We consider the dynamics of a reaction-diffusion system on a multigraph. The species share the same set of nodes but can access different links to explore the embedding spatial support. By acting on the topology of the networks we can control the ability of the system to self-organise in macroscopic patterns, emerging as a symmetry breaking instability of an homogeneous fixed point. Two different cases study are considered: on the one side, we produce a global modication of the networks, starting from the limiting setting where species are hosted on the same graph. On the other, we consider the effect of inserting just one additional single link to differentiate the two graphs. In both cases, patterns can be generated or destroyed, as follows the imposed, small, topological perturbation. Approximate analytical formulae allows to grasp the essence of the phenomenon and can potentially inspire innovative control strategies to shape the macroscopic dynamics on multigraph networks.
langue originale | Anglais |
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Editeur | Namur center for complex systems |
Nombre de pages | 11 |
Etat de la publication | Publié - 26 avr. 2016 |
Empreinte digitale
Examiner les sujets de recherche de « Tune the topology to create or destroy patterns ». Ensemble, ils forment une empreinte digitale unique.-
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PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)
Winkin, J., Blondel, V., Vandewalle, J., Pintelon, R., Sepulchre, R., Vande Wouwer, A. & Sartenaer, A.
1/04/12 → 30/09/17
Projet: Recherche
Activités
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Control of self-organized patterns in complex networks
Timoteo Carletti (Conférencier)
18 juil. 2017Activité: Participation ou organisation d'un événement › Participation à un atelier/workshop, un séminaire, un cours
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Control of self-organized patterns in complex networks
Timoteo Carletti (Organisateur)
18 juil. 2017Activité: Participation ou organisation d'un événement › Participation à un atelier/workshop, un séminaire, un cours
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IAP VIII / 19 DYSCO - Dynamical SYStems Control and Optimization DYSCO Study day
Timoteo Carletti (Conférencier)
1 déc. 2016Activité: Participation ou organisation d'un événement › Participation à un Colloque, une journée d'étude