Changes in the fractal dimension of alpha envelope from wakefulness to drowsiness in the human electroencephalogram

TL;DR: A new measure that describes the VF waveform and distinguishes between early and late VF was examined, supporting the hypothesis that the surface ECG during VF is a deterministic rather than a random signal.

TL;DR: Since the global increase in FD during wake-to-drowsy transition correlated with the decrease of alpha power, it is inferred that increase of EEG complexity may not necessarily be an index of brain activation.

TL;DR: The study of the dynamics of non-linear systems allows the evaluation of the correlation dimension which provides an estimate of the number of variables needed to model the process and it is concluded that sleep regulation might be considered as a deterministicNon-linear process and that the already proposed two-process model of sleep regulation needs to include additional variables with non- linear interactions.

TL;DR: CEPS as mentioned in this paper is an open access MATLAB GUI for the analysis of complexity and entropy in Physiological Signals (CEPS), and demonstrate its use with an example data set that shows the effects of pacing breathing (PB) on variability of heart, pulse and respiration rates.

TL;DR: In this paper, the correlation exponent v is introduced as a characteristic measure of strange attractors which allows one to distinguish between deterministic chaos and random noise, and algorithms for extracting v from the time series of a single variable are proposed.

TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.

TL;DR: In this article, the fractal dimension of the set of points (t, f(t)) forming the graph of a function f defined on the unit interval was measured using a self-similarity property.