The mathematics of Kuramoto models which describe synchronization phenomena
Matematica, cultura e società, Série 1, Tome 1 (2016) no. 2, pp. 123-132
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The so-called "Kuramoto models" and similar ones represent a paradigmatic way to describe a number of synchronization phenomena. These are states into which incoherent systems may go, often as it occurs in phase transition, and concern a variety of cases, ranging form Physics to Neuroscience, from Biology to Engineering and even Social Sciences. They explain, at least qualitatively, a large variety of complex processes. In this paper, we review such models and the underlying mathematics, showing some of their peculiarities.
Spigler, Renato. The mathematics of Kuramoto models which describe synchronization phenomena. Matematica, cultura e società, Série 1, Tome 1 (2016) no. 2, pp. 123-132. http://geodesic.mathdoc.fr/item/RUMI_2016_1_1_2_a3/
@article{RUMI_2016_1_1_2_a3,
author = {Spigler, Renato},
title = {The mathematics of {Kuramoto} models which describe synchronization phenomena},
journal = {Matematica, cultura e societ\`a},
pages = {123--132},
year = {2016},
volume = {Ser. 1, 1},
number = {2},
zbl = {1404.34066},
mrnumber = {3586455},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RUMI_2016_1_1_2_a3/}
}