Inferring phase equations from multivariate time series.

@article{Tokuda2007InferringPE,
  title={Inferring phase equations from multivariate time series.},
  author={Isao T. Tokuda and Swati Jain and Istv{\'a}n Zolt{\'a}n Kiss and John L. Hudson},
  journal={Physical review letters},
  year={2007},
  volume={99 6},
  pages={
          064101
        }
}
An approach is presented for extracting phase equations from multivariate time series data recorded from a network of weakly coupled limit cycle oscillators. Our aim is to estimate important properties of the phase equations including natural frequencies and interaction functions between the oscillators. Our approach requires the measurement of an experimental observable of the oscillators; in contrast with previous methods it does not require measurements in isolated single or two-oscillator… 
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