Characterization of weak coupling between self-oscillation systems from short time series: Technique and applications

  • D. A. Smirnov
Statistical Radio Physics


A technique is developed for characterizing the coupling of self-oscillation systems from observable signals (time series). The technique is based on the empirical modeling of phase dynamics in such systems and extended to the case of short time series and high noise levels. Corrections to the conventional estimates are introduced to eliminate their systematic errors, and formulas for the confidence intervals are derived. The effectiveness and applicability of the technique are demonstrated by numerical experiments and examples from neurophysiology and climatology: an increased influence of the pathological focus on adjacent brain regions is detected in the intracranial electroencephalograms of a patient with temporal lobe epilepsy as a precursor of a seizure, and the influence of the El Niño-Southern Oscillation phenomenon on the North Atlantic Oscillation is revealed from the records of the climate indexes (sea-surface temperature and atmospheric pressure).

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© Pleiades Publishing, Inc. 2006

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  • D. A. Smirnov

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