The synchronized stationary equilibria in the Kuramoto mean field game are unique up to rotation for all supercritical interaction strengths and form a smooth branch converging to the uniform state at the critical threshold, proven by showing the self-consistency map is strictly concave.
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Uniqueness of synchronized stationary equilibria in the Kuramoto mean field game
The synchronized stationary equilibria in the Kuramoto mean field game are unique up to rotation for all supercritical interaction strengths and form a smooth branch converging to the uniform state at the critical threshold, proven by showing the self-consistency map is strictly concave.