4 papers
Turing patterns on adaptive networks
Marie Dorchain, S. Nirmala Jenifer, Timoteo Carletti
We are surrounded by spatio-temporal patterns resulting from the interaction of the numerous basic units constituting natural or human-made systems. In presence of diffusive-like c…
On rankings in multiplayer games with an application to the game of Whist
Alexis Coyette, Charles Modera, Candy Sonveaux +14
We propose a novel extension of the Bradley-Terry model to multiplayer games and adapt a recent algorithm by Newman [1] to our model. We demonstrate the use of our proposed method…
Synchronization of nonlinearly coupled Stuart-Landau oscillators on networks
Wilfried Segnou, Riccardo Muolo, Marie Dorchain +2
The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in diff…
Impact of directionality on the emergence of Turing patterns on m-directed higher-order structures
Marie Dorchain, Wilfried Segnou, Riccardo Muolo +1
We hereby develop the theory of Turing instability for reaction-diffusion systems defined on m-directed hypergraphs, the latter being generalization of hypergraphs where nodes form…