Detecting phase synchronisation in time series data sets Seminar

Synchronisation phenomena in their various disguises are among the most prominent features in coupled dynamical structures. Within this talk we first introduce how the vague notion of a phase can be given a more precise meaning using what has been coined as analytic signal processing. This approach then allows to distinguish different types of synchronisation phenomena, and in particular to detect synchronisation of the phase of signals where amplitudes remain uncorrelated. These ideas are finally applied to data sets to explore whether phase synchronisation plays a role in the interpretation of physiological movement data.