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

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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.

Item Type:	Article
Keywords:	Mathematics; Dynamical systems; Classical analysis; ODEs; phase-coupled oscillators; Hamilton Institute. Type text
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	1687
Depositing User:	Hamilton Editor
Date Deposited:	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
URI:	https://mural.maynoothuniversity.ie/id/eprint/1687
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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