Estimation of coupling between oscillators from short time series via phase dynamics modeling: Limitations and application to EEG data

D. A. Smirnov, M. B. Bodrov, J. L. Perez Velazquez, R. A. Wennberg, B. P. Bezruchko
2005 Chaos  
We demonstrate in numerical experiments that estimators of strength and directionality of coupling between oscillators based on modeling of their phase dynamics [D.A. Smirnov and B.P. Bezruchko, Phys. Rev. E 68, 046209 (2003)] are widely applicable. Namely, although the expressions for the estimators and their confidence bands are derived for linear uncoupled oscillators under the influence of independent sources of Gaussian white noise, they turn out to allow reliable characterization of
more » ... ng from relatively short time series for different properties of noise, significant phase nonlinearity of the oscillators, and non-vanishing coupling between them. We apply the estimators to analyze a two-channel human intracranial epileptic electroencephalogram (EEG) recording with the purpose of epileptic focus localization.
doi:10.1063/1.1938487 pmid:16035902 fatcat:qgilc2wvvfef5psi6gnndowdpm