Grupo de Física Estadística

The Kuramoto model has been succesful in explaining common synchronization phenomena such as clapping audiences, flashing fireflies or arrays of Josephson junctions. Here we present results for the Kuramoto model with the original all-to-all coupling, but we add a time delay with distance calculated on a virtual lattice according to the Manhattan (taxi-driver's) metric. The resulting system has interesting behavior in the desynchronized regime. Periodicity in the resonance frequency has been observed. Stabilized phase patterns such as plane waves and vortices have also been recorded. This is, to our knowledge, the first case of a Kuramoto model with distance-dependent delay which doesn't explicitly include short-ranged interactions and still produces phase patterns.