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: | https://fse.studenttheses.ub.rug.nl/id/eprint/15537 |
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