Results 211 to 220 of about 105,356 (254)

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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Entropy of weighted recurrence plots

Physical Review E, 2014
The Shannon entropy of a time series is a standard measure to assess the complexity of a dynamical process and can be used to quantify transitions between different dynamical regimes. An alternative way of quantifying complexity is based on state recurrences, such as those available in recurrence quantification analysis.
Eroglu, D., Peron, T., Marwan, N., Rodrigues, F., Costa, L., Sebek, M., Kiss, I., Kurths, J.   +7 more
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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.
Yoshito Hirata, Motomasa Komuro, Shunsuke Horai, Kazuyuki Aihara   +3 more
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RECURRENCE QUANTIFICATIONS: FEATURE EXTRACTIONS FROM RECURRENCE PLOTS

International Journal of Bifurcation and Chaos, 2007
Recurrence plots are two-dimensional representations of multidimensional dynamics captured by applying time delays to a single series (vector) of ordinal data in time or space. Recurrence plots may be presented with beautiful lace-like structures, but most important is the inference these patterns make about the underlying dynamics.
Charles L. Webber Jr., Joseph P. Zbilut
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Multivariate recurrence plots

Physics Letters A, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Romano, M., Thiel, M., Kurths, J., von Bloh, W.   +3 more
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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 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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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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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 ...
Pawel Kaluzny, Remigiusz Tarnecki
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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.
Yong Zou 0002, Marco Thiel, M. Carmen Romano, Jürgen Kurths   +3 more
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