Grabow, Carsten, Hill, Steven M. (Mark), Grosskinsky, Stefan and Timme, Marc (2010) Do small worlds synchronize fastest? Europhysics Letters, Vol.90 (No.4). Article no. 48002. doi:10.1209/0295-5075/90/48002 ISSN 0295-5075.

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Abstract

Small-world networks interpolate between fully regular and fully random topologies and simultaneously exhibit large local clustering as well as short average path length. Small-world topology has therefore been suggested to support network synchronization. Here we study the asymptotic speed of synchronization of coupled oscillators in dependence on the degree of randomness of their interaction topology in generalized Watts-Strogatz ensembles. We find that networks with fixed in-degree synchronize faster the more random they are, with small worlds just appearing as an intermediate case. For any generic network ensemble, if synchronization speed is at all extremal at intermediate randomness, it is slowest in the small-world regime. This phenomenon occurs for various types of oscillators, intrinsic dynamics and coupling schemes. Copyright (c) EPLA, 2010

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Graphic methods, System analysis, Synchronization
Journal or Publication Title:	Europhysics Letters
Publisher:	EPL Association, European Physical Society
ISSN:	0295-5075
Official Date:	May 2010
Dates:	Date Event May 2010 Published
Volume:	Vol.90
Number:	No.4
Number of Pages:	5
Page Range:	Article no. 48002
DOI:	10.1209/0295-5075/90/48002
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	1 August 2016
Date of first compliant Open Access:	1 August 2016
Funder:	Germany. Bundesministerium für Bildung und Forschung (BMBF), Max-Planck-Gesellschaft zur Förderung der Wissenschaften [Max Planck Society for the Advancement of Science], Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	01GQ0430 (BMBF), EP/E501311/1 (EPSRC)

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