通过相位动力学模拟从短时间序列估计振荡器之间的耦合：限制和对EEG数据的应用
Estimation of coupling between oscillators from short time series via phase dynamics modeling: limitations and application to EEG data
摘要：
我们在数值实验中证明，基于振荡器相动力学建模的振荡器之间耦合的强度和方向性的估计器[D.A.Smirnov和B.P.Bezruchko，Phys.Rev.E68，046209（2003）]是广泛适用的。也就是说，虽然表达式的估计量和他们的置信带的影响下，独立的高斯白噪声源的线性非耦合振荡器，他们原来允许可靠的表征耦合从相对较短的时间序列的不同属性的噪声，显着的相位非线性的振荡器，和它们之间的非零耦合。我们应用估计分析一个双通道的人类颅内癫痫脑电图（EEG）记录与癫痫灶定位的目的。
英文摘要：
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.
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