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

[img] Download (349kB)


Share your research

Twitter Facebook LinkedIn GooglePlus Email more...



Add this article to your Mendeley library


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:

    Repository Staff Only(login required)

    View Item Item control page

    Document Downloads

    More statistics for this item...