# Filippov flows and mean-field limits in the kinetic singular Kuramoto model

@article{Poyato2019FilippovFA, title={Filippov flows and mean-field limits in the kinetic singular Kuramoto model}, author={David Poyato}, journal={arXiv: Analysis of PDEs}, year={2019} }

The agent-based singular Kuramoto model was proposed in [60] as a singular version of the Kuramoto model of coupled oscillators that is consistent with Hebb's rule of neuroscience. In such paper, the authors studied its well-posedness via the concept of Filippov solutions. Interestingly, they found some new emergent phenomena in the paradigm of Kuramoto model: clustering into subgroups and emergence of global phase synchronization taking place at finite time.
This paper aims at introducing the… Expand

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