Journal ArticleDOI
Dynamical assessment of physiological systems and states using recurrence plot strategies
Reads0
Chats0
TLDR
This paper illustrates how recurrence plots can take single physiological measurements, project them into multidimensional space by embedding procedures, and identify time correlations (recurrences) that are not apparent in the one-dimensional time series.Abstract:
Physiological systems are best characterized as complex dynamical processes that are continuously subjected to and updated by nonlinear feedforward and feedback inputs. System outputs usually exhibit wide varieties of behaviors due to dynamical interactions between system components, external noise perturbations, and physiological state changes. Complicated interactions occur at a variety of hierarchial levels and involve a number of interacting variables, many of which are unavailable for experimental measurement. In this paper we illustrate how recurrence plots can take single physiological measurements, project them into multidimensional space by embedding procedures, and identify time correlations (recurrences) that are not apparent in the one-dimensional time series. We extend the original description of recurrence plots by computing an array of specific recurrence variables that quantify the deterministic structure and complexity of the plot. We then demonstrate how physiological states can be assessed by making repeated recurrence plot calculations within a window sliding down any physiological dynamic. Unlike other predominant time series techniques, recurrence plot analyses are not limited by data stationarity and size constraints. Pertinent physiological examples from respiratory and skeletal motor systems illustrate the utility of recurrence plots in the diagnosis of nonlinear systems. The methodology is fully applicable to any rhythmical system, whether it be mechanical, electrical, neural, hormonal, chemical, or even spacial.read more
Citations
More filters
Book ChapterDOI
VR-Based Assessment and Rehabilitation of Functional Mobility
TL;DR: The advent of virtual reality as a tool for real-world training dates back to the mid-twentieth century and the early years of driving and flight simulators, where these simulation environments proved beneficial in the transfer of user-learned skills from the simulated environment to the real world.
Journal ArticleDOI
Complexity in Solar Irradiance From the Earth Radiation Budget Satellite
TL;DR: Investigation of the solar irradiance data from the Earth Radiation Budget Satellite during the time period from October 15, 1984 to October15, 2003 reveals that though nonlinearity is significantly present in the signal, chaotic behavior is not really observed in it.
Journal ArticleDOI
Damage detection by recurrence and entropy methods on the basis of time series measured during composite milling
TL;DR: In this paper, the authors present methods for damage detection in machined material on the basis of time series measured during milling of glass-fiber-reinforced polymer (GFRP).
Advanced methods for analysing and modelling multivariate palaeoclimatic time series
TL;DR: In this paper, a linear principal component analysis is used to decompose the data set into suitable fractions whose temporal variability correlates well with the variations of the average solar insolation on millenial to multi-millenial time scales.
Journal ArticleDOI
Vibrations of a delivery car excited by railway track crossing
Grzegorz Litak,Grzegorz Litak,Marek Borowiec,Jacek Hunicz,Grzegorz Koszalka,Andrzej Niewczas +5 more
TL;DR: In this article, the application of recurrence plots allows to examine short time series of acceleration non-stationary courses of a delivery car passing through railway tracks, which is used to test the quality of a car suspension.
References
More filters
Journal ArticleDOI
Measuring the Strangeness of Strange Attractors
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.
Journal ArticleDOI
Recurrence Plots of Dynamical Systems
TL;DR: In this article, a graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples, and the tool can be used to measure the time complexity of a dynamical system.
Journal ArticleDOI
Embeddings and delays as derived from quantification of recurrence plots
TL;DR: Recurrence plots have been advocated as a useful diagnostic tool for the assessment of dynamical time series by quantifying certain features of these plots which may be helpful in determining embeddings and delays.
Journal ArticleDOI
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
Jean-Pierre Eckmann,David Ruelle +1 more
TL;DR: In this paper, it was shown that the correlation dimension of the Grassberger-Procaccia algorithm cannot exceed the value 2 log 10N if N is the number of points in the time series, and when this bound is saturated it is thus not legitimate to conclude that low dimensional dynamics is present.