Reconstructing effective phase connectivity of oscillator networks from observations

Björn Kralemann, Arkady Pikovsky, Michael Rosenblum
2014 New Journal of Physics  
We present a novel approach for recovery of the directional connectivity of a small oscillator network by means of the phase dynamics reconstruction from multivariate time series data. The main idea is to use a triplet analysis instead of the traditional pairwise one. Our technique reveals an effective phase connectivity which is generally not equivalent to a structural one. We demonstrate that by comparing the coupling functions from all possible triplets of oscillators, we are able to achieve
more » ... in the reconstruction a good separation between existing and non-existing connections, and thus reliably reproduce the network structure.
doi:10.1088/1367-2630/16/8/085013 fatcat:gauh23rnljecrnwelgu3wbquxu