@article{Pruessner:2014:10.1016/j.physa.2014.10.080,
author = {Pruessner, G and Cheang, S and Jensen, HJ},
doi = {10.1016/j.physa.2014.10.080},
journal = {Physica A: Statistical Mechanics and its Applications},
pages = {8--13},
title = {Synchronization by small time delays},
url = {http://dx.doi.org/10.1016/j.physa.2014.10.080},
volume = {420},
year = {2014}
}

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TY  - JOUR
AB  - 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.
AU  - Pruessner,G
AU  - Cheang,S
AU  - Jensen,HJ
DO  - 10.1016/j.physa.2014.10.080
EP  - 13
PY  - 2014///
SN  - 1873-2119
SP  - 8
TI  - Synchronization by small time delays
T2  - Physica A: Statistical Mechanics and its Applications
UR  - http://dx.doi.org/10.1016/j.physa.2014.10.080
UR  - http://www.sciencedirect.com/science/article/pii/S0378437114009182
UR  - http://hdl.handle.net/10044/1/18283
VL  - 420
ER  - 

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