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Time-Frequency Analysis of the Kuramoto Model

Liefting, B.J. (2016) Time-Frequency Analysis of the Kuramoto Model. Bachelor's Thesis, Applied Mathematics.

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Abstract

The phenomenon of synchronisation is studied by means of the Kuramoto model. This model describes a large population of coupled oscillators with natural frequencies taken from a narrow distribution. It is assumed that the coupling between the oscillators is mean-field and purely sinusoidal. We follow Kuramoto’s analysis to obtain a formula for the critical coupling. Then the properties of the Kuramoto model are studied with the aid of Poincaré maps. We then conclude with a time-frequency analysis of the order parameter. With the aid of this time-frequency analysis we were able to detect partial synchronisation.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:30
Last Modified: 15 Feb 2018 08:30
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15537

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