Results 221 to 230 of about 91,797 (258)

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 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 ...
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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Automated Quantification of the Synchrogram by Recurrence Plot Analysis

IEEE Transactions on Biomedical Engineering, 2012
Recently, the concept of phase synchronization of two weakly coupled oscillators has raised a great research interest and has been applied to characterize synchronization phenomenon in physiological data. Phase synchronization of cardiorespiratory coupling is often studied by a synchrogram analysis, a graphical tool investigating the relationship ...
Chinh Duc Nguyen, Stephen James Wilson, Stuart Crozier   +2 more
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Recurrence plots revisited

Physica D: Nonlinear Phenomena, 1997
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On the structures and quantification of recurrence plots

Physics Letters A, 2000
Abstract 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), 1987
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.
ECKMANN, J.-P., KAMPHORST, S. OLIFFSON, RUELLE, D.   +2 more
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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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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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