57 citations · 108 across the 3 of their papers we have counts for
3 papers
physics.data-an2008
Instantaneous oscillatory direction and phase for multivariate timeseries
Carsten Allefeld
This text describes a generalization of the analytic signal (Gabor, 1946) approach for the definition of instantaneous amplitude and phase to the case of multivariate signals. It w…
physics.data-an2007★ 51 cited
Detecting synchronization clusters in multivariate time series via coarse-graining of Markov chains
Carsten Allefeld, Stephan Bialonski
Synchronization cluster analysis is an approach to the detection of underlying structures in data sets of multivariate time series, starting from a matrix R of bivariate synchroniz…
physics.data-an2007★ 57 cited
Eigenvalue Decomposition as a Generalized Synchronization Cluster Analysis
Carsten Allefeld, Markus Müller, Jürgen Kurths
Motivated by the recent demonstration of its use as a tool for the detection and characterization of phase-shape correlations in multivariate time series, we show that eigenvalue d…