Synchronization in a Kuramoto Mean Field Game

Self-entrainment of a population of coupled non-linear oscillators

Y. Kuramoto · 1975

Earlier work this paper cites.

Elliptic partial differential equations of second order

D. Gilbarg, N. S. Trudinger, D. Gilbarg, and N. Trudinger · 1977

Earlier work this paper cites.

Viscosity solutions of Hamilton-Jacobi equations

M. G. Crandall and P.-L. Lions · 1983

Earlier work this paper cites.

Some properties of viscosity solutions of Hamilton-Jacobi equations

M. G. Crandall, L. C. Evans, and P.-L. Lions · 1984

Earlier work this paper cites.

From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators

S. H. Strogatz · 2000

Earlier work this paper cites.

The Kuramoto model: A simple paradigm for synchronization phenomena

J. A. Acebrón, L. L. Bonilla, C. J. P. Vicente, F. Ritort, and R. Spigler · 2005

Earlier work this paper cites.

Controlled Markov processes and viscosity solutions , volume 25

W. H. Fleming and H. M. Soner · 2006

Earlier work this paper cites.

Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the nash certainty equivalence principle

M. Huang, R. P. Malhamé, and P. E. Caines · 2006

Cited alongside, same era.

Mean field games

J.-M. Lasry and P.-L. Lions · 2007

Cited alongside, same era.

On the complete synchronization of the Kuramoto phase model

S.-Y. Ha, T. Ha, and J.-H. Kim · 2010

Cited alongside, same era.

Bifurcation analysis of a heterogeneous mean-field oscillator game model

H. Yin, P. G. Mehta, S. P. Meyn, and U. V. Shanbhag · 2011

Cited alongside, same era.

Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators

G. Giacomin, K. Pakdaman, and X. Pellegrin · 2012

Cited alongside, same era.

Synchronization and random long time dynamics for mean-field plane rotators

L. Bertini, G. Giacomin, and C. Poquet · 2014

Emergence of phase-locked states for the Kuramoto model in a large coupling regime

S.-Y. Ha, H. K. Kim, and S. W. Ryoo · 2016

Later among the works it cites.

Stable solutions in potential mean field game systems

A. Briani and P. Cardaliaguet · 2018

Later among the works it cites.

Probabilistic theory of mean field games with applications I-II

R. Carmona and F. Delarue · 2018

Later among the works it cites.

On the existence of oscillating solutions in non-monotone mean-field games

M. Cirant · 2019

Later among the works it cites.

Jet lag recovery: Synchronization of circadian oscillators as a mean field game

R. Carmona and C. V. Graves · 2020

Later among the works it cites.

Long time dynamics for interacting oscillators on graphs

F. Coppini · 2022

Closest in time.