Effective phase connectivity from observations [article]

Björn Kralemann and Arkady Pikovsky and Michael Rosenblum
2014 arXiv   pre-print
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 pair-wise one. Our technique reveals effective phase connectivity which is generally not equivalent to structural one. We demonstrate that by comparing the coupling functions from all possible triplets of oscillators, we are able to achieve in
more » ... he reconstruction a good separation between existing and non-existing connections, and thus reliably reproduce the network structure.
arXiv:1402.4331v2 fatcat:jwev7txor5ashggb6dn426pema