# The mathematics of Kuramoto models which describe synchronization phenomena

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

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

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topSpigler, 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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