The mathematics of Kuramoto models which describe synchronization phenomena
Matematica, cultura e società, Série 1, Tome 1 (2016) no. 2, pp. 123-132
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
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.
@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/}
}
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/