On Exponential Synchronization of Kuramoto Oscillators

@article{Chopra2009OnES,
  title={On Exponential Synchronization of Kuramoto Oscillators},
  author={Nikhil Chopra and Mark W. Spong},
  journal={IEEE Transactions on Automatic Control},
  year={2009},
  volume={54},
  pages={353-357}
}
In this technical note we study the problem of exponential synchronization for one of the most popular models of coupled phase oscillators, the Kuramoto model. We consider the special case of finite oscillators with distinct, bounded natural frequencies. Our first result derives a lower bound on the coupling gain which is necessary for the onset of synchronization. This bound improves the one derived by Jadbabaie . We then calculate a lower bound on the coupling gain that is sufficient to… CONTINUE READING
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