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Quantification analysis of fuzzy recurrence plots
Europhysics Letters, 2022Abstract The method of fuzzy recurrence plots has been introduced as an extension of the method of recurrence plots to display recurrences of the reconstructed phase-space trajectories of dynamical systems as grayscale images. This paper presents some quantifiable measures of fuzzy recurrence plots in the context of the recurrence ...
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Optimizing of recurrence plots for noise reduction
Physical Review E, 2002We propose a way to automatically detect the best neighborhood size for a local projective noise reduction filter, where a typical problem is the proper identification of the noise level. Here we make use of concepts from the recurrence quantification analysis in order to adaptively tune the filter along the incoming time series. We define an index, to
Matassini, L. +3 more
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ANALYTICAL DESCRIPTION OF RECURRENCE PLOTS OF DYNAMICAL SYSTEMS WITH NONTRIVIAL RECURRENCES
International Journal of Bifurcation and Chaos, 2007In this paper we study recurrence plots (RPs) for the simplest example of nontrivial recurrences, namely in the case of a quasiperiodic motion. This case can be still studied analytically and constitutes a link between simple periodic and more complicated chaotic dynamics.
Zou, Y. +3 more
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Assessing Causality with Conditional Recurrence Plots [PDF]
, 2021 In many fields of the natural sciences, from biology to physics, information tools are acquiring more and more importance. For the analysis of information transfer between time series in particular, the use of the transfer entropy is spreading. A typical application is synchronization experiments, which involve coupled quantities, a "target" and a ...
Peluso E +3 more
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Conceptual Recurrence Plots: Revealing Patterns in Human Discourse
IEEE Transactions on Visualization and Computer Graphics, 2012Human discourse contains a rich mixture of conceptual information. Visualization of the global and local patterns within this data stream is a complex and challenging problem. Recurrence plots are an information visualization technique that can reveal trends and features in complex time series data.
Angus, Daniel +2 more
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Spurious Structures in Recurrence Plots Induced by Embedding
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thiel, Marco +2 more
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Recurrence plots and recurrence quantification analysis of human motion data
AIP Conference Proceedings, 2016The authors present exemplary application of recurrence plots, cross recurrence plots and recurrence quantification analysis for the purpose of exploration of experimental time series describing selected aspects of human motion. Time series were extracted from treadmill gait sequences which were recorded in the Human Motion Laboratory (HML) of the ...
Henryk Josiński +4 more
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Estimating Kolmogorov Entropy from Recurrence Plots
2014Kolmogorov entropy, actually an entropy rate h, has been introduced in chaos theory to characterize quantitatively the overall temporal organization of a dynamics. Several methods have been devised to turn the mathematical definition into an operational quantity that can be estimated from experimental time series.
Philippe Faure, Annick Lesne
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Annals of Biomedical Engineering, 2000
The aim of this study was to determine the presence of organization of atrial activation processes during atrial fibrillation (AF) by assessing whether the activation sequences are wholly random or are governed by deterministic mechanisms. We performed both linear and nonlinear analyses based on the cross correlation function (CCF) and recurrence plot ...
G. Calcagnini +6 more
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The aim of this study was to determine the presence of organization of atrial activation processes during atrial fibrillation (AF) by assessing whether the activation sequences are wholly random or are governed by deterministic mechanisms. We performed both linear and nonlinear analyses based on the cross correlation function (CCF) and recurrence plot ...
G. Calcagnini +6 more
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Thresholding Distance Plots Using True Recurrence Points
2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006Recurrence plots (RP) visualize multi-dimensional state spaces and represent the recurrence of states of a system. Recurrence points can be divided into true recurrence points and false recurrence points (also called sojourn points). We introduce the true recurrence point recurrence plot, TRP, a variant of the traditional RP excluding the sojourn ...
C. Ahlstrom, P. Hult, P. Ask
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