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Updated: Jul 19, 2026

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients
Published on: December 18, 2016
Estimation of coupling between oscillators from short time series via phase dynamics modeling: limitations and
D A Smirnov1, M B Bodrov, J L Perez Velazquez
1Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Zelyonaya Street 38, Saratov 410019, Russia. smirnovda@info.sgu.ru
Abstract:
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 coupling from relatively short time series for different properties of noise, significant phase nonlinearity of the oscillators, and nonvanishing 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.

