Detection of phase locking from non-stationary time seriesZonghua Liu1, 2, Bambi Hu2, 3 and Leon D. Iasemidis4
1 Department of Physics, East China Normal University - Shanghai, 200062, PRC
2 Department of Physics, Center for Nonlinear Studies, and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (Hong Kong Branch), Hong Kong Baptist University - Hong Kong, PRC
3 Department of Physics, University of Houston - Houston, TX 77204-5005, USA
4 Department of Bioengineering, Arizona State University - Tempe, AZ 85287, USA
received 27 October 2004; accepted in final form 13 May 2005
published online 15 June 2005
The detection of the interrelation between non-stationary time series is a key problem unsolved in the analysis of practical data. Here we present a novel approach to detect the phase locking of time series in non-stationary status, which does not need the reconstruction of the attractor but gets information from the consistence of local rotation speeds. This method can be conveniently used for practical situations, such as the epileptic seizure.
05.45.Tp - Time series analysis.
05.45.Xt - Synchronization; coupled oscillators.
© EDP Sciences 2005