фазовая динамика

Topic. In this paper, we investigate the applicability of the known method for detecting the couplings between two oscillators, based on experimental phase dynamics modeling by phases time series in cases where there are several peaks in the signal power spectrum.

The problem of detection and quantitative characterization of nonlinear directional couplings between stochastic oscillators is considered. Coupling characteristics and a technique for their estimation from time series are suggested. An analytic expression for a statistical significance level of the conclusion about coupling presence is derived that allows a reliable inference from relatively short signals. Performance of the approach is demonstrated in numerical experiments with diverse individual properties of oscillators and different kinds of coupling functions.