Synchronization of Kuramoto Oscillators on Knots

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2013Embargo end date: 01 Apr 2011 Italy English Publisher:Alkhaer PublicationsJournal:International Journal of Sciences, volume -1, pages 85-88 (issn: 2410-4477, eissn: 2305-3925,

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Authors: SPARAVIGNA, Amelia Carolina;

doi: 10.18483/ijsci.217 , 10.5281/zenodo.3348270 , 10.48550/arxiv.1104.3493 , 10.5281/zenodo.3348269

arXiv: 1104.3493

handle: 11583/2510894

Synchronization of Kuramoto Oscillators on Knots

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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.Read Complete Article at ijSciences: V2201306217 AND DOI: http://dx.doi.org/10.18483/ijSci.217

Country

Italy

Related Organizations

Polytechnic University of Turin
Italy

Keywords

Knots, Kuramoto model, FOS: Physical sciences, Computational Physics (physics.comp-ph), Chaotic Dynamics (nlin.CD), Synchronization, Nonlinear Sciences - Chaotic Dynamics, Knots; Knot diagrams; Kuramoto model; Kuramoto oscillators, Physics - Computational Physics

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