Synchronization by small time delays
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Published version
Author(s)
Pruessner, G
Cheang, S
Jensen, HJ
Type
Journal Article
Abstract
Synchronization is a phenomenon observed in all of the living and in much of the nonliving world, for example in the heart beat, Huygens’ clocks, the flashing of fireflies and the clapping of audiences. Depending on the number of degrees of freedom involved, different mathematical approaches have been used to describe it, most prominently integrateand-fire oscillators and the Kuramoto model of coupled oscillators. In the present work, we study a very simple and general system of smoothly evolving oscillators, which continue to interact even in the synchronized state. We find that under very general circumstances, synchronization generically occurs in the presence of a (small) time delay. Strikingly, the synchronization time is inversely proportional to the time delay.
Date Issued
2014-10-30
Citation
Physica A: Statistical Mechanics and its Applications, 2014, 420, pp.8-13
ISSN
1873-2119
Start Page
8
End Page
13
Journal / Book Title
Physica A: Statistical Mechanics and its Applications
Volume
420
Copyright Statement
© 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/).
Identifier
http://www.sciencedirect.com/science/article/pii/S0378437114009182
Subjects
Synchronization
Entrainment
Time delays
Pulse-exchange
Networks
Publication Status
Published