Testing for phase synchronization

• Main Authors: Allefeld, Carsten, Kurths, Jürgen
• Format: Others
• Language: English
• Published: Universität Potsdam 2004
• Subjects: Physics
• Online Access: http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-20091; http://opus.kobv.de/ubp/volltexte/2008/2009/

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.