Results 211 to 220 of about 91,797 (258)

The Visual Boundary Recurrence Plot: A Closer Look into the Dynamics of Recurrence Plots

International Journal of Bifurcation and Chaos, 2022
In this paper, we introduce a new graphical tool, the visual boundary recurrence plot, in order to provide a more detailed visualization of the well-established method of recurrence plots. In this approach, we are coloring each point of the recurrence plot depending on whether the neighboring points in the vertical and horizontal directions are ...
Athanasios D. Fragkou, Ioannis Andreadis, Theodoros E. Karakasidis   +2 more
openaire   +2 more sources

Mathematics of Recurrence Plots

Springer Proceedings in Complexity
Yoshito Hirata, Hirata Yoshito
exaly   +2 more sources

Spatial recurrence plots

Physical Review E, 2006
We propose an extension of the recurrence plot concept to perform quantitative analyzes of roughness and disorder of spatial patterns at a fixed time. We introduce spatial recurrence plots (SRPs) as a graphical representation of the pointwise correlation matrix, in terms of a two-dimensional spatial return plot.
Vasconcelos, D. B., Lopes, S. R., Viana, R. L., Kurths, Jürgen (Prof. Dr.)   +3 more
openaire   +3 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +3 more sources

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
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +3 more sources

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
openaire   +2 more sources