Europhys. Lett.
Volume 68, Number 1, October 2004
Page(s) 19 - 25
Section General
Published online 01 September 2004
Europhys. Lett., 68 (1), pp. 19-25 (2004)
DOI: 10.1209/epl/i2004-10173-x

Measuring the degree of synchronization from time series data

Zonghua Liu

Department of Physics, East China Normal University - Shanghai, 200062, PRC

received 5 April 2004; accepted in final form 4 August 2004

A novel approach is presented to measure the synchronization of two time series. Based on the consistent changing tendency of temporal permutation entropies, we introduce an order parameter to characterize the synchronization between two coupled systems. The value of the order parameter can be used as an indicator of the degree of synchronization, which has been confirmed by numerical simulations and analytically illustrated through an example. Our method is effective and can be easily used in practical situations.

05.45.Tp - Time series analysis.
05.45.Xt - Synchronization; coupled oscillators.

© EDP Sciences 2004