Stability Conditions for Cluster Synchronization in Networks of Heterogeneous Kuramoto Oscillators

@article{Menara2020StabilityCF,
  title={Stability Conditions for Cluster Synchronization in Networks of Heterogeneous Kuramoto Oscillators},
  author={Tommaso Menara and Giacomo Baggio and Danielle S. Bassett and Fabio Pasqualetti},
  journal={IEEE Transactions on Control of Network Systems},
  year={2020},
  volume={7},
  pages={302-314}
}
In this paper, we study cluster synchronization in networks of oscillators with heterogenous Kuramoto dynamics, where multiple groups of oscillators with identical phases coexist in a connected network. Cluster synchronization is at the basis of several biological and technological processes; yet, the underlying mechanisms to enable the cluster synchronization of Kuramoto oscillators have remained elusive. In this paper, we derive quantitative conditions on the network weights, cluster… Expand
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