Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:2-4-3
Session:
Number:2-4-3-2
Estimation of coupling between oscillators from short time series via phase dynamics modeling: limitations and application
B.P. Bezruchko, M.B. Bodrov, D.A. Smirnova,
pp.170-173
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
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 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.