In a recent work, R. Carmona, Q. Cormier and M. Soner proposed a mean field game based on the classical Kuramoto model, originally motivated by systems of chemical and biological oscillators. Such MFG model exhibits several stationary equilibria, and the question of their ability to capture long time limits of dynamic equilibria is largely open. I will discuss in the talk how to show that, up to translations, there are two possible stationary equilibria only – the incoherent and the synchronised one – provided that the interaction parameter is large enough. Finally, I will present some local stability properties of the synchronised equilibrium.
This video was produced by the SITE Research Center at New York University, as part of their talk series.
