TY - JOUR A1 - Kralemann, Björn A1 - Pikovskij, Arkadij A1 - Rosenblum, Michael T1 - Reconstructing phase dynamics of oscillator networks T2 - Chaos : an interdisciplinary journal of nonlinear science N2 - We generalize our recent approach to the reconstruction of phase dynamics of coupled oscillators from data [B. Kralemann et al., Phys. Rev. E 77, 066205 (2008)] to cover the case of small networks of coupled periodic units. Starting from a multivariate time series, we first reconstruct genuine phases and then obtain the coupling functions in terms of these phases. Partial norms of these coupling functions quantify directed coupling between oscillators. We illustrate the method by different network motifs for three coupled oscillators and for random networks of five and nine units. We also discuss nonlinear effects in coupling. Y1 - 2011 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/36806 SN - 1054-1500 VL - 21 IS - 2 PB - American Institute of Physics CY - Melville ER -