Results 251 to 260 of about 213,790 (291)

Devaney’s chaos on recurrence plots

Physical Review E, 2010
Although the definition of deterministic chaos in the sense of Devaney is often employed for investigating dynamical systems, it has been rarely used for identifying deterministic chaos from time series. In this paper, we develop a set of methods that infers whether a given time series is consistent with deterministic chaos in the sense of Devaney or ...
Yoshito, Hirata, Kazuyuki, Aihara
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Recurrence plots and unstable periodic orbits

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2002
A recurrence plot is a two-dimensional visualization technique for sequential data. These plots are useful in that they bring out correlations at all scales in a manner that is obvious to the human eye, but their rich geometric structure can make them hard to interpret.
Elizabeth, Bradley, Ricardo, Mantilla
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Recurrence plots of neuronal spike trains

Biological Cybernetics, 1993
The recently developed qualitative method of diagnosis of dynamical systems-recurrence plots-has been applied to the analysis of dynamics of neuronal spike trains recorded from cerebellum and red nucleus of anesthetized cats. Recurrence plots revealed robust and common changes in the similarity structure of interspike interval sequences as well as ...
P, Kałuzny, R, Tarnecki
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Coarse-graining time series data: Recurrence plot of recurrence plots and its application for music

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016
We propose a nonlinear time series method for characterizing two layers of regularity simultaneously. The key of the method is using the recurrence plots hierarchically, which allows us to preserve the underlying regularities behind the original time series. We demonstrate the proposed method with musical data.
Fukino, Miwa, Hirata, Yoshito, Aihara, Kazuyuki   +2 more
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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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