Synchronisation conditions in the Kuramoto model and their relationship to seminorms

In this paper we address two questions about the synchronisation of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical results in convex geometry to prove bounds on the size of the frequency set supporting the existence of stable, phase locked...

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Veröffentlicht in:	Nonlinearity 2021-08, Vol.34 (8), p.5399-5433
Hauptverfasser:	Bronski, Jared C, Carty, Thomas E, DeVille, Lee
Format:	Artikel
Sprache:	eng
Schlagworte:	convex analysis extreme-value statistics Kuramoto model permutahedron
Online-Zugang:	Volltext
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