Results 241 to 250 of about 93,434 (284)

Cracked rotor detection by recurrence plots

open access: yesNondestructive Testing and Evaluation, 2009
Recurrence plots (RPs) analysis has been used to distinguish cracked and healthy rotor responses. It has been shown that the recurrence criteria of the dynamical systems defined by the RPs can indicate the damages of the rotating shaft using relatively ...
Grzegorz Litak, Jerzy T Sawicki
exaly   +3 more sources

Recurrence plots for the analysis of complex systems

open access: yesPhysics Reports, 2007
Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late 1980's. This report is a comprehensive overview covering recurrence based methods and their applications with an ...
Norbert Marwan   +2 more
exaly   +3 more sources

Recurrence Plots for Diesel Engine Variability Tests

open access: yesZeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2009
Cycle-to-cycle variations of maximum pressure in a diesel engine are studied by using the methods of recurrence plots and recurrence quantification analysis.
Rafał Longwic   +2 more
exaly   +3 more sources
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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

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   +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

Mathematics of Recurrence Plots

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

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