Synchronization of Kuramoto Oscillators on Knots

Synchronization of Kuramoto Oscillators on Knots

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Author(s)

Author(s): Amelia Carolina Sparavigna

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DOI: 10.18483/ijSci.217 616 1136 85-88 Volume 2 - Jul 2013

Abstract

A knot is a circle embedded in the space. Projecting a knot on a plane, we obtain a diagram which is known as the knot diagram. The vertices of the diagram, where the curved lines are crossed, can be considered as sites occupied by oscillators. The synchronization of these oscillators can be studied by means of a Kuramoto model. Here we propose to define some order parameters, of the complete knot diagram and of its regions, to study the synchronization of the system with regard to the different parts of it.

Keywords

Knots, Synchronization, Kuramoto model

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International Journal of Sciences is Open Access Journal.
This article is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.
Author(s) retain the copyrights of this article, though, publication rights are with Alkhaer Publications.

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