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

Verwoerd, Mark and Mason, Oliver (2007) Global phase-locking in finite populations of phase-coupled oscillators. SIAM Journal on Applied Dynamical Systems, 7 (1). pp. 134-160. ISSN 1536-0040

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Abstract

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.

Keywords:Mathematics; Dynamical systems; Classical analysis; ODEs; phase-coupled oscillators; Hamilton Institute. Type text
Subjects:Science & Engineering > Mathematics
ID Code:1687
Deposited By:Hamilton Editor
Deposited On:26 Nov 2009 09:48
Journal or Publication Title:SIAM Journal on Applied Dynamical Systems
Publisher:SIAM - Society for Industrial and Applied Mathematics
Refereed:Yes

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