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Automated Quantification of the Synchrogram by Recurrence Plot Analysis
IEEE Transactions on Biomedical Engineering, 2012Recently, the concept of phase synchronization of two weakly coupled oscillators has raised a great research interest and has been applied to characterize synchronization phenomenon in physiological data. Phase synchronization of cardiorespiratory coupling is often studied by a synchrogram analysis, a graphical tool investigating the relationship ...
Chinh Duc Nguyen +2 more
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On the structures and quantification of recurrence plots
Physics Letters A, 2000Abstract Recurrence plots (RPs) often have fascinating structures, especially when the embedding dimension is 1. We identify four basic patterns of a RP, namely, patterns along the main (45°) diagonal, patterns along the 135° diagonal, block-like structures, and square-like textures.
Jianbo Gao, Huaqing Cai
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Physica D: Nonlinear Phenomena, 1997
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Recurrence Plots of Dynamical Systems
Europhysics Letters (EPL), 1987A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.
ECKMANN, J.-P. +2 more
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Multiscale recurrence quantification analysis of order recurrence plots
Physica A: Statistical Mechanics and its Applications, 2017Abstract In this paper, we propose a new method of multiscale recurrence quantification analysis (MSRQA) to analyze the structure of order recurrence plots. The MSRQA is based on order patterns over a range of time scales. Compared with conventional recurrence quantification analysis (RQA), the MSRQA can show richer and more recognizable information ...
Mengjia Xu, Pengjian Shang, Aijing Lin
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Symbolic recurrence plots to analyze dynamical systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018This paper, based on the concept of symbolic correlation integral, introduces a set of symbolic recurrence plots and associated invariant measures, which are independent of the distance parameter, serving as a tool for quantifying the dynamic structure.
M. Victoria Caballero-Pintado +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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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.
Daniel Angus +2 more
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STATISTICAL TESTS FOR SERIAL DEPENDENCE AND LAMINARITY ON RECURRENCE PLOTS
International Journal of Bifurcation and Chaos, 2011Although recurrence quantification analysis provides useful information about underlying dynamics, it cannot be used to obtain significance levels on its own. Therefore, we propose methods to determine significance levels of serial dependence and laminarity from plotted patterns of recurrence plots.
Yoshito Hirata, Kazuyuki Aihara
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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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