A historical review of recurrence plots

@article{Marwan2008AHR,
  title={A historical review of recurrence plots},
  author={Norbert Marwan},
  journal={The European Physical Journal Special Topics},
  year={2008},
  volume={164},
  pages={3-12},
  url={https://api.semanticscholar.org/CorpusID:119494395}
}
  • N. Marwan
  • Published 26 November 2008
  • Physics, History
  • The European Physical Journal Special Topics
After 20 years of RPs it is time to summarise this development in a historical context.
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294 Citations
Highly Influential Citations
14
Background Citations
81
Methods Citations
81
Results Citations
1

294 Citations

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Finding recurrence networks' threshold adaptively for a specific time series

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Recurrence-based time series analysis by means of complex network methods

Complex network measures are shown to provide information about structural features of dynamical systems that are complementary to those characterized by other methods of time series analysis and substantially enrich the knowledge gathered from other existing approaches.

Simpler methods do it better: Success of Recurrence Quantification Analysis as a general purpose data analysis tool

A bibliographic view on recurrence plots and recurrence quantification analyses

A bibliographic database containing studies on recurrence plots and related methods is analyzed from various perspectives. This allows a detailed view of the field's development, showcasing the…

Recurrence Plots

    Tuan D. Pham
    Physics
    Fuzzy Recurrence Plots and Networks with…
  • 2020
Results show that RP method could discriminate: a) attractor-driven oscillation patterns of the transient EEG phenomena during transitions towards deep sleep, visually represented by slow wave sleep (SWS) and expression of EEG synchronization; b) the loss of this attractor -driven oscillations several seconds before the occurrence of REM phases.

Complex network approach for recurrence analysis of time series

Determinism versus randomness in plankton dynamics: The analysis of noisy time series based on the recurrence plots

It is concluded that random components of the phytoplankton dynamics in the Naroch Lakes do not prevent recognition of chaotic nature of these dynamics, as well as numerical assessments of the horizon of predictability.

Density-based recurrence measures from microstates.

This approach opens up a line of research by reframing traditional RQAs in terms of microstates, and establishes a bridge between concepts of traditional lines-based RQA and recurrence microstates.
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86 References

Cross recurrence plot based synchronization of time series

The method of recurrence plots is extended to the cross recurrence plots (CRP) which, among others, enables the study of synchronization or time differences in two time series. This is emphasized in…

Visualization of coupling in time series by order recurrence plots.

    Andreas Groth
    Physics
    Physical review. E, Statistical, nonlinear, and…
  • 2005
A measure of the coupling strength is derived which is robust against observational noise, nonlinear distortion of the amplitude, and low-frequency trends and is robust with respect to artifacts.

Divergence in perpendicular recurrence plot; quantification of dynamical divergence from short chaotic time series

Embeddings and delays as derived from quantification of recurrence plots

Recurrence Quantification Analysis: Introduction and Historical Context

Recurrence quantification analysis is derived from recurrence plots, which are based upon distances matrices of embedded series, and demonstrated the plot's ability to uncover deterministic processes, as well as drift and nonstationarity.

How much information is contained in a recurrence plot

Multivariate recurrence plots

Nonlinear analysis of bivariate data with cross recurrence plots

Spurious Structures in Recurrence Plots Induced by Embedding

It is shown that delay embedding produces spurious structures in a recurrence plot that are not present in the real attractor and the second order Rényi entropy and the correlation dimension are dynamical invariants that can be estimated from Recurrence Plots with arbitrary embedding dimension and delay.

Use of recurrence plots in the analysis of heart beat intervals

Recurrence plots, which were defined to appreciate the dynamics of a time series, were applied to the heart rates of subjects with a history of congestive heart failure and heart transplantation as they were administered normal saline, showing that adiabatic systems may be usefully analyzed without requiring the reconstruction of an entire attractor.
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