Dynamical assessment of physiological systems and states using recurrence plot strategies
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...Recurrence quantification analysis (RQA) may be applied to IBI data to detect hidden rhythms and non-linear deterministic structures of HRV in higher dimensional space [165,166]....
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...For a more detailed description of the mathematical background of RQA, several detailed methodological papers have been published previously [163,165,166,171]....
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...Since then, six parameters have been introduced that may be used to quantitatively assess recurrence plots(1) [165,166]....
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"Dynamical assessment of physiologic..." refers background in this paper
...(7) have shown that the length of these short upward diagonal lines is inversely proportional to the largest positive Lyapunov exponent, one hallmark for chaos in stationary systems....
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...(7) discuss the utility of recurrence plots in revealing subtle time correlations (multidimensional perspective) in otherwise benign time series (l-dimensional perspective)....
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...Because recurrence plots were originally designed to detect hidden rhythms embedded within complex waveforms independent of stationarity restrictions (7), we postulated that our recurrence plot variables would be more sensitive than standard technologies in detecting physiological state changes....
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...(7), was originally designed to locate recurring patterns (hidden rhythms) and nonstationarities (drifts) in experimental data sets....
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"Dynamical assessment of physiologic..." refers background in this paper
...Alternately, increasing the size of data strings introduces nonstationarity trending that smears out characteristic peaks in the frequency spectrum (Fourier analysis), yields false estimations of the number of operating variables (correlation dimension calculations), and mistakenly identifies the presence of dynamical chaos (positive Lyapunov exponents) (8)....
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