Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling

  title={Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling},
  author={Owen Coss and J. Hauenstein and Hoon Hong and D. Molzahn},
  journal={SIAM J. Appl. Algebra Geom.},
  • Owen Coss, J. Hauenstein, +1 author D. Molzahn
  • Published 2018
  • Computer Science, Mathematics
  • SIAM J. Appl. Algebra Geom.
  • The Kuramoto model describes synchronization behavior among coupled oscillators and enjoys successful application in a wide variety of fields. Many of these applications seek phase-coherent solutions, i.e., equilibria of the model. Historically, research has focused on situations where the number of oscillators, $n$, is extremely large and can be treated as being infinite. More recently, however, applications have arisen in areas such as electrical engineering with more modest values of $n… CONTINUE READING
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