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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2026 2representative citing papers
Time-dependent equilibria in potential MFGs converge to stationary ones via a novel Lyapunov functional, with a new uniqueness criterion and application to Kuramoto MFG.
citing papers explorer
-
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.
-
Convergence of Potential Mean-Field Games via Lyapunov Methods
Time-dependent equilibria in potential MFGs converge to stationary ones via a novel Lyapunov functional, with a new uniqueness criterion and application to Kuramoto MFG.