The mathematics of Kuramoto models which describe synchronization phenomena

Renato Spigler

Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana (2016)

  • Volume: 1, Issue: 2, page 123-132
  • ISSN: 2499-751X

Abstract

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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.

How to cite

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Spigler, Renato. "The mathematics of Kuramoto models which describe synchronization phenomena." Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana 1.2 (2016): 123-132. <http://eudml.org/doc/288243>.

@article{Spigler2016,
abstract = {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.},
author = {Spigler, Renato},
journal = {Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana},
language = {eng},
month = {8},
number = {2},
pages = {123-132},
publisher = {Unione Matematica Italiana},
title = {The mathematics of Kuramoto models which describe synchronization phenomena},
url = {http://eudml.org/doc/288243},
volume = {1},
year = {2016},
}

TY - JOUR
AU - Spigler, Renato
TI - The mathematics of Kuramoto models which describe synchronization phenomena
JO - Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana
DA - 2016/8//
PB - Unione Matematica Italiana
VL - 1
IS - 2
SP - 123
EP - 132
AB - 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.
LA - eng
UR - http://eudml.org/doc/288243
ER -

References

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