Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Nonlinear dynamics, synchronization and chaos I

DY 9.3: Vortrag

Montag, 25. Februar 2008, 17:30–17:45, MA 004

Multivariate Characterisation of Spatially Heterogeneous Phase Synchronisation — •Reik Donner — TU Dresden, Andreas-Schubert-Str. 23, 01062 Dresden, Germany

Over the last decades, the emergence of synchronisation phenomena in complex networks has attracted considerable interest. In particular, phase synchronisation phenomena of coupled oscillators have be observed in a variety of systems. In this contribution, we discuss how phase synchronisation can be properly detected in the case of multi-component systems. Whereas the traditional approach has exclusively considered averages of bivariate synchronisation measures, in the recent years, different approaches to synchronisation cluster analysis have been proposed. Some of these methods are reviewed and thoroughly compared. In particular, we discuss the potential importance of different eigenvalue statistics obtained from matrices of pairwise phase coherence measures for the characterisation of spatially heterogeneous or clustered phase synchronisation. Our results are illustrated for networks of phase oscillators as well as the problem of self-organised material flows on networks.