Direction of coupling from phases of interacting oscillators: an information-theoretic approach.

@article{Palu2003DirectionOC,
  title={Direction of coupling from phases of interacting oscillators: an information-theoretic approach.},
  author={Milan Palu{\vs} and Aneta Stefanovska},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={67 5 Pt 2},
  pages={
          055201
        }
}
A directionality index based on conditional mutual information is proposed for application to the instantaneous phases of weakly coupled oscillators. Its abilities to distinguish unidirectional from bidirectional coupling, as well as to reveal and quantify asymmetry in bidirectional coupling, are demonstrated using numerical examples of quasiperiodic, chaotic, and noisy oscillators, as well as real human cardiorespiratory data. 

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