A convex-geometric framework maps the stability region of fully phase-locked states in the finite Kuramoto model to a convex set in frequency space, allowing the critical coupling to be found as the ray intersection with the set boundary and providing an explicit polytope upper bound.
Prepared and with a preface by Volker Kaibel, Victor Klee and Gunter M
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A convex-geometric framework for fully phase-locked states in the finite Kuramoto model
A convex-geometric framework maps the stability region of fully phase-locked states in the finite Kuramoto model to a convex set in frequency space, allowing the critical coupling to be found as the ray intersection with the set boundary and providing an explicit polytope upper bound.