Résumé
| langue originale | Anglais |
|---|---|
| Editeur | Namur center for complex systems |
| Nombre de pages | 11 |
| état | Publié - 26 avr. 2016 |
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Tune the topology to create or destroy patterns. / Asllani, Malbor; Carletti, Timoteo; Fanelli, Duccio.
Namur center for complex systems, 2016. 11 p.Résultats de recherche: Livre/Rapport/Revue › Autre rapport
TY - BOOK
T1 - Tune the topology to create or destroy patterns
AU - Asllani, Malbor
AU - Carletti, Timoteo
AU - Fanelli, Duccio
PY - 2016/4/26
Y1 - 2016/4/26
N2 - 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.
AB - 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.
KW - multigraph
KW - spatio-temporal patterns
KW - Complex Networks
KW - Turing patterns
KW - control
M3 - Other report
BT - Tune the topology to create or destroy patterns
PB - Namur center for complex systems
ER -