About the Derivation of the SCA Algorithm

An approach to multivariate phase synchronization analysis in the form of a Synchronization Cluster Analysis (SCA) was introduced in [Allefeld & Kurths, 2004]. 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.