Results 291 to 300 of about 175,685 (330)

Recurrence Plots of Dynamical Systems

Europhysics Letters (EPL), 1987
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.
J.-P Eckmann, S. Oliffson Kamphorst, D Ruelle   +2 more
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Recurrence plots revisited

Physica D: Nonlinear Phenomena, 1997
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Multiscale recurrence quantification analysis of order recurrence plots

Physica A: Statistical Mechanics and its Applications, 2017
Abstract 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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RECURRENCE PLOTS FOR SYMBOLIC SEQUENCES

International Journal of Bifurcation and Chaos, 2010
This paper introduces an extension of recurrence analysis to symbolic sequences. Heuristic arguments based on Shannon–McMillan–Breiman theorem suggest several relations between the statistical features of "symbolic" recurrence plots and the entropy per unit time of the dynamics; their practical efficiency for experimental sequences of finite length is
PHILIPPE FAURE, ANNICK LESNE
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Faithfulness of Recurrence Plots: A Mathematical Proof

International Journal of Bifurcation and Chaos, 2015
It is practically known that a recurrence plot, a two-dimensional visualization of time series data, can contain almost all information related to the underlying dynamics except for its spatial scale because we can recover a rough shape for the original time series from the recurrence plot even if the original time series is multivariate.
Hirata, Yoshito, Komuro, Motomasa, Horai, Shunsuke, Aihara, Kazuyuki   +3 more
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Symbolic recurrence plots to analyze dynamical systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018
This 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, Mariano Matilla-García, Manuel Ruiz Marín   +2 more
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Quantification analysis of fuzzy recurrence plots

Europhysics Letters, 2022
Abstract 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, 2002
We 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., Kantz, H., Hołyst, J., Hegger, R.   +3 more
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ANALYTICAL DESCRIPTION OF RECURRENCE PLOTS OF DYNAMICAL SYSTEMS WITH NONTRIVIAL RECURRENCES

International Journal of Bifurcation and Chaos, 2007
In 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., Thiel, M., Romano, M. C., Kurths, J.   +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, Craciunescu T, Murari A, Gelfusa M   +3 more
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