Phase synchronization analysis is frequently applied to data originating for example from Physics and Life Sciences. Statistical properties for quantities measuring phase synchronization have not been revealed. We derive an analytic significance level for a frequently used phase synchronization measure. Its performance is demonstrated for a system of coupled oscillators. (C) 2007 Elsevier B.V. All rights reserved.
- phase synchronization
- significance level
- nonlinear dynamics
- multivariate time series analysis