Synchronize with noise

Synchronization in a mean-field model of interacting oscillators in a random environment

Bachelor thesis (2017)

Authors

T.F.W. van der Jagt Electrical Engineering, Mathematics and Computer Science

Contributors

W.M. Ruszel (mentor)
J.L.A. Dubbeldam (graduation committee member)
J.G. Spandaw (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2017 Thomas van der Jagt
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Published Date

11-07-2017

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

A variation on the random Kuramoto model was analyzed, a mean-field model which describes the behavior of coupled oscillators in a random environment. The analytic results are based on the behavior of the system in the infinite volume limit. In the analysis critical values were found for the parameters in the model which can be used to determine when the oscillators synchronize. Numerical simulations were used to verify the analytic results.

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