@misc{AllefeldKurths2004,
  author    = {Allefeld, Carsten and Kurths, J{\"u}rgen},
  title     = {Testing for phase synchronization},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-20091},
  year      = {2004},
  abstract  = {We present different tests for phase synchronization which improve the procedures currently used in the literature. This is accomplished by using a two-samples test setup and by utilizing insights and methods from directional statistics and bootstrap theory. The tests differ in the generality of the situation in which they can be applied as well as in their complexity, including computational cost. A modification of the resampling technique of the bootstrap is introduced, making it possible to fully utilize data from time series.},
  language  = {en}
}
@misc{AllefeldKurths2004,
  author    = {Allefeld, Carsten and Kurths, J{\"u}rgen},
  title     = {An approach to multivariate phase synchronization analysis and its application to event-related potentials},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-20106},
  year      = {2004},
  abstract  = {A method for the multivariate analysis of statistical phase synchronization phenomena in empirical data is presented. A first statistical approach is complemented by a stochastic dynamic model, to result in a data analysis algorithm which can in a specific sense be shown to be a generic multivariate statistical phase synchronization analysis. The method is applied to EEG data from a psychological experiment, obtaining results which indicate the relevance of this method in the context of cognitive science as well as in other fields.},
  language  = {en}
}
@misc{AllefeldFrischSchlesewsky2005,
  author    = {Allefeld, Carsten and Frisch, Stefan and Schlesewsky, Matthias},
  title     = {Detection of early cognitive processing by event-related phase synchronization analysis},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-20126},
  year      = {2005},
  abstract  = {In order to investigate the temporal characteristics of cognitive processing, we apply multivariate phase synchronization analysis to event-related potentials. The experimental design combines a semantic incongruity in a sentence context with a physical mismatch (color change). In the ERP average, these result in an N400 component and a P300-like positivity, respectively. The synchronization analysis shows an effect of global desynchronization in the theta band around 288ms after stimulus presentation for the semantic incongruity, while the physical mismatch elicits an increase of global synchronization in the alpha band around 204ms. Both of these effects clearly precede those in the ERP average. Moreover, the delay between synchronization effect and ERP component correlates with the complexity of the cognitive processes.},
  language  = {en}
}
@misc{AllefeldFrisch2004,
  author    = {Allefeld, Carsten and Frisch, Stefan},
  title     = {Phase synchronization analysis of event-related potentials in language processing},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-20113},
  year      = {2004},
  abstract  = {Phase synchronization analysis, including our recently introduced multivariate approach, is applied to event-related EEG data from an experiment on language processing, following a classic psycholinguistic paradigm. For the two types of experimental manipulation distinct effects in overall synchronization are found; for one of them they can also be localized. The synchronization effects occur earlier than those found by the conventional analysis method, indicating that the new approach provides additional information on the underlying neuronal process.},
  language  = {en}
}
@misc{Allefeld2006,
  author    = {Allefeld, Carsten},
  title     = {About the derivation of the SCA algorithm},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-20137},
  year      = {2006},
  abstract  = {In Allefeld \& Kurths [2004], we introduced an approach to multivariate phase synchronization analysis in the form of a Synchronization Cluster Analysis (SCA). A statistical model of a synchronization cluster was described, and an abbreviated instruction on how to apply this model to empirical data was given, while an implementation of the corresponding algorithm was (and is) available from the authors. In this letter, the complete details on how the data analysis algorithm is to be derived from the model are filled in.},
  language  = {en}
}