Séminaire de Probabilités

The Kuramoto Model in Dynamic Random Graphs

by Pablo Groisman (Universidad de Buenos Aires)

Salle Pellos (1R2 - 207)

Salle Pellos (1R2 - 207)


The Kuramoto model in a graph G=(V,E) is a system of ODEs representening coupled oscillators. Each oscillator has its own natural frequency and on top of that any two oscillators that are linked by an edge tend to synchronize their phases. For a given graph, we are interested in understanding the set of initial conditions for which the oscillators tend to synchronize their frequencies and under which conditions all the phases are synchronized as time goes to infinity. We will pose this issue for a series of random graphs that are allowed to change as time goes on.