Characteristic patterns of variation over time, namely rhythms, represent a defining feature of
complex systems, one that is synonymous with life. Despite the intrinsic dynamic …

We examine the detrended fluctuation analysis (DFA), which is a well-established method
for the detection of long-range correlations in time series. We show that deviations from …

Abstract 1/f scaling has been observed throughout human physiology and behavior, but its
origins and meaning remain a matter of debate. Some argue that it is a byproduct of ongoing …

When investigating the dynamical properties of complex multiple-component physical and
physiological systems, it is often the case that the measurable system's output does not …

Quantification of nonlinear interactions between two nonstationary signals presents a
computational challenge in different research fields, especially for assessments of …

We applied multiresolution wavelet analysis to the sequence of times between human
heartbeats (R− R intervals) and have found a scale window, between 16 and 32 heartbeat …

A number of natural time series including electroencephalogram (EEG) show highly non-
stationary characteristics in their behavior. We analyzed the EEG in sleep apnea that …

Physiological system time series (signals) usually follow a pattern of fluctuations over time.
Mining the potential dynamic features of physiological system time series is the key to …

Detrended fluctuation analysis (DFA) is a scaling method commonly used for detecting long-
range correlations in nonstationary time series. Applications range from financial time series …

The ECG is a representative signal containing information about the condition of the heart.
The shape and size of the P-QRS-T wave, the time intervals between its various peaks, etc …