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We demonstrate in numerical experiments that estimators of strength anddirectionality of coupling between oscillators based on modeling of their phasedynamics [D.A. Smirnov and B.P. Bezruchko, Phys. Rev. E 68, 046209 (2003)] arewidely applicable. Namely, although the expressions for the estimators andtheir confidence bands are derived for linear uncoupled oscillators under theinfluence of independent sources of Gaussian white noise, they turn out toallow reliable characterization of coupling from relatively short time seriesfor different properties of noise, significant phase nonlinearity of theoscillators, and non-vanishing coupling between them. We apply the estimatorsto analyze a two-channel human intracranial epileptic electroencephalogram(EEG) recording with the purpose of epileptic focus localization.

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