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Do small worlds synchronize fastest?
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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
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Official URL: http://dx.doi.org/10.1209/0295-5075/90/48002
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 > Centre for Complexity Science Faculty of Science > Mathematics |
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| 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: |
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| 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 | ||||
| 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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