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Corpus ID: 201124739

On the trend to global equilibrium for Kuramoto Oscillators

@article{Morales2019OnTT,
title={On the trend to global equilibrium for Kuramoto Oscillators},
author={J. Morales and David Poyato},
journal={arXiv: Analysis of PDEs},
year={2019}
}

In this paper, we study the convergence to the stable equilibrium for Kuramoto oscillators. Specifically, we derive estimates on the rate of convergence to the global equilibrium for solutions of the Kuramoto-Sakaguchi equation in a large coupling strength regime from generic initial data. As a by-product, using the stability of the equation in the Wasserstein distance, we quantify the rate at which discrete Kuramoto oscillators concentrate around the global equilibrium. In doing this, we… Expand