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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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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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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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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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Recurrence Plots for the Analysis of Combustion Dynamics
2016Practical applications involving combustion suffer from serious issues such as combustion instabilities and sudden loss of flame: flame flashback and blowout . These phenomena are related to dynamical changes in the combustion system. Here, we summarize our recent studies on the application of recurrence-based methods to identify such dynamical ...
Lipika Kabiraj +5 more
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