Information theoretic approach to quantify complete and phase synchronization of chaos
- 20 May 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 65 (5) , 056215
- https://doi.org/10.1103/physreve.65.056215
Abstract
Based on an information theory approach we suggest a quantitative characteristic for evaluating the degree of chaotic synchronization. The proposed characteristic is tested for the cases of complete and phase synchronization of chaos. It is shown that this characteristic is stable with respect to the influence of small noise and nonlinear signal distortion.Keywords
This publication has 14 references indexed in Scilit:
- Synchronization as adjustment of information rates: Detection from bivariate time seriesPhysical Review E, 2001
- Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patientsPhysica D: Nonlinear Phenomena, 2000
- From Phase to Lag Synchronization in Coupled Chaotic OscillatorsPhysical Review Letters, 1997
- Symbolic Analysis of Chaotic Signals and Turbulent FluctuationsPhysical Review Letters, 1997
- Generalized synchronization of chaos: The auxiliary system approachPhysical Review E, 1996
- Phase Synchronization of Chaotic OscillatorsPhysical Review Letters, 1996
- Symbol sequence statistics in noisy chaotic signal reconstructionPhysical Review E, 1995
- SYNCHRONIZATION OF CHAOSInternational Journal of Bifurcation and Chaos, 1992
- Stochastic synchronization of oscillation in dissipative systemsRadiophysics and Quantum Electronics, 1986
- Stability Theory of Synchronized Motion in Coupled-Oscillator SystemsProgress of Theoretical Physics, 1983