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arxiv: 0709.1558 · v1 · submitted 2007-09-11 · 🧮 math.DS · math.CA

Global phase-locking in finite populations of phase-coupled oscillators

classification 🧮 math.DS math.CA
keywords conditionsfiniteoscillatorsboundscompletecoupledcouplingcritical
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We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph. We use these conditions to derive bounds on the critical coupling.

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