This article is cited in 3 papers

A method for revealing coupling between oscillators with analytical assessment of statistical significance

D. A. Smirnov, E. V. Sidak, B. P. Bezruchko

Saratov Branch, Kotel'nikov Institute of Radio-Engineering and Electronics, Russian Academy of Sciences

Abstract: A method based on calculating the coefficient of correlation between the increments of oscillation phases is proposed for revealing a coupling between two oscillatory systems according to their time series. A distribution of the estimate of this characteristic for uncoupling systems is found; it was used to obtain a criterion for judging the availability of the coupling with a specified confidence probability. The proposed method is simpler than known methods and has a wider range of application, since it also includes oscillators with fairly strong phase nonlinearity. The efficiency of this method is illustrated by examples of reference systems in a numerical experiment.

Received: 05.12.2012

 English version: Technical Physics Letters, 2013, 39:7, 601–605

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