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convex geometry 1finite-size effects 1kuramoto model 1phase locking 1synchronization 1

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physics.soc-ph2026

A convex-geometric framework for fully phase-locked states in the finite Kuramoto model

Antonio Garijo, Sergio Gómez, Alex Arenas

The paper analyzes the finite-size Kuramoto model and derives a convex‑geometric description of the minimal coupling needed for all oscillators to lock in phase, providing an expli…