TY - GEN A1 - Hutt, Axel A1 - Daffershofer, A. A1 - Steinmetz, U. T1 - Detection of mutual phase synchronization in multivariate signals and application to phase ensembles and chaotic data N2 - The work presents a novel method for the detection of mutual phase synchronization in non-stationary time series. We show how the application of a cluster algorithmthat considers spatio-temporal struc- tures of data follows from the general condition of phase-synchronized data. In view of the topology of phasic data, we re-formulate the K-Means cluster algorithm on a flat torus and apply a segmentation index derived in an earlier work (Physica D 177,203-232(2003)). This index is extended by means of averaging in order to reflect phase syn- chronization in ensembles of multivariate time series. The method is illustrated using simulated multivariate phase dynamics and arrays of chaotic systems, in which temporal segments of phase-synchronized states are registered. A comparison with results from an existing bi- variate synchronization index reveals major advantages of our method. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/40 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-404 ER -