3 papers
cond-mat.stat-mech2026
Turing patterns in Matrix-Weighted Networks
Anna Gallo, Wilfried Segnou, Timoteo Carletti
Diffusion-driven instability is a fundamental mechanism underlying pattern formation in spatially extended systems. In almost all existing works, diffusion across the links of the…
nlin.PS2025
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…
nlin.PS2024
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…