Synchronize with noise
Synchronization in a mean-field model of interacting oscillators in a random environment
T.F.W. van der Jagt (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Wioletta Ruszel – Mentor
J.L.A. Dubbeldam – Graduation committee member
JG Spandaw – Graduation committee member
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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.