Corpus ID: 235422239

Stability of twisted states on lattices of Kuramoto oscillators

  title={Stability of twisted states on lattices of Kuramoto oscillators},
  author={M. Goebel and Matthew S. Mizuhara and S. Stepanoff},
Real world systems comprised of coupled oscillators have the ability to exhibit spontaneous synchronization and other complex behaviors. The interplay between the underlying network topology and the emergent dynamics remains a rich area of investigation for both theory and experiment. In this work we study lattices of coupled Kuramoto oscillators with non-local interactions. Our focus is on the stability of twisted states. These are equilibrium solutions with constant phase shifts between… Expand

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