Estimation of the direction of the coupling by conditional probabilities of recurrence.

@article{Romano2007EstimationOT,
  title={Estimation of the direction of the coupling by conditional probabilities of recurrence.},
  author={M. Carmen Romano and Marco Thiel and Juergen Kurths and Celso Grebogi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={76 3 Pt 2},
  pages={036211}
}
We introduce a method to detect and quantify the asymmetry of the coupling between two interacting systems based on their recurrence properties. This method can detect the direction of the coupling in weakly as well as strongly coupled systems. It even allows detecting the asymmetry of the coupling in the more challenging case of structurally different systems and it is very robust against noise. We also address the problem of detecting the asymmetry of the coupling in passive experiments, i.e… CONTINUE READING

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