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· 2023 · arXiv 2210.12912

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Uniqueness of synchronized stationary equilibria in the Kuramoto mean field game

math.AP · 2026-05-13 · accept · novelty 8.0

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 math.AP · 2026-05-13 · accept · none · ref 4

    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.