Projets par an
Résumé
The problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product network is considered. To this end we operate in the linear regime and expand the time dependent perturbation on a basis formed by the tensor product of the eigenvectors of the discrete Laplacian operators, associated to each of the individual networks that build the Cartesian product. The dispersion relation which controls the onset of the instability depends on a set of discrete wavelengths, the eigenvalues of the aforementioned Laplacians. Patterns can develop on the Cartesian network, if they are supported on at least one of its constitutive sub-graphs. Multiplex networks are also obtained under specific prescriptions. In this case, the criteria for the instability reduce to compact explicit formulae. Numerical simulations carried out for the Mimura-Murray reaction kinetics confirm the adequacy of the proposed theory.
langue originale | Anglais |
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Numéro d'article | 5:12927 |
Pages (de - à) | 1 |
Nombre de pages | 10 |
journal | Scientific Reports |
Volume | 5 |
Numéro de publication | 12927 |
Les DOIs | |
Etat de la publication | Publié - 6 août 2015 |
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Examiner les sujets de recherche de « Turing instabilities on Cartesian product networks ». 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