Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes.

  title={Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes.},
  author={Per Sebastian Skardal and Alex Arenas},
  journal={Physical review letters},
  volume={122 24},
Collective behavior in large ensembles of dynamical units with nonpairwise interactions may play an important role in several systems ranging from brain function to social networks. Despite recent work pointing to simplicial structure, i.e., higher-order interactions between three or more units at a time, their dynamical characteristics remain poorly understood. Here we present an analysis of the collective dynamics of such a simplicial system, namely coupled phase oscillators with three-way… 

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