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@article{Eckmann1987RP,
author = {J.-P Eckmann and S Oliffson Kamphorst and D Ruelle},
doi = {10.1209/0295-5075/4/9/004},
issue = {9},
journal = {EUROPHYSICS LETTERS Europhys. Lett},
pages = {973},
title = {Recurrence Plots of Dynamical Systems},
volume = {4},
year = {1987}
}
@article{Iwanski1998Corridor,
abstract = {A recurrence plot is a visualization tool for analyzing experimental data. These plots often reveal correlations in the data that are not easily detected in the original time series. Existing recurrence plot analysis techniques, which are primarily application oriented and completely quantitative, require that the time-series data first be embedded in a high-dimensional space, where the embedding dimension dE is dictated by the dimension d of the data set, with dE≥2d+1. One such set of recurrence plot analysis tools, recurrence quantification analysis, is particularly useful in finding locations in the data where the underlying dynamics change. We have found that for certain low-dimensional systems the same results can be obtained with no embedding. © 1998 American Institute of Physics.},
author = {Joseph S. Iwanski and Elizabeth Bradley},
doi = {10.1063/1.166372},
issn = {10541500},
issue = {4},
journal = {Chaos},
pages = {861-871},
publisher = {American Institute of Physics Inc.},
title = {Recurrence plots of experimental data: To embed or not to embed?},
volume = {8},
year = {1998}
}
@article{Marwan2007Spatial,
author = {Norbert Marwan and Jürgen Kurths and Peter Saparin},
doi = {10.1016/j.physleta.2006.08.058},
issue = {4-5},
journal = {Physics Letters A},
keywords = {0545,0705K,Data analysis,Osteoporosis PACS: 0540,Recurrence plot,Spatial data,bone structure},
pages = {545-551},
title = {Generalised Recurrence Plot Analysis for Spatial Data},
volume = {360},
year = {2007}
}
@book{Webber2015Recurrence,
title = {Recurrence Quantification Analysis: Theory and Best Practices},
author = {Webber, Charles L. Jr. and Marwan, Norbert},
publisher = {Springer},
year = {2015},
address = {Cham, Switzerland},
isbn = {9783319071541, 9783319071558},
doi = {10.1007/978-3-319-07155-8},
}
@article{Corso2018Entropy,
author = {Gilberto Corso and Thiago de Lima Prado and Gustavo Zampier dos Santos Lima and Jürgen Kurths and Sergio Roberto Lopes},
doi = {10.1063/1.5042026},
issn = {10541500},
issue = {8},
journal = {Chaos},
month = {8},
pmid = {30180629},
publisher = {American Institute of Physics Inc.},
title = {Quantifying entropy using recurrence matrix microstates},
volume = {28},
year = {2018}
}
@article{Hirata2021Triangle,
author = {Yoshito Hirata},
doi = {10.1016/j.cnsns.2020.105552},
issn = {10075704},
issue = {105552},
journal = {Communications in Nonlinear Science and Numerical Simulation},
keywords = {Nonlinear time series analysis,Random dynamical system,Recurrence plot,Recurrence triangle},
month = {3},
publisher = {Elsevier B.V.},
title = {Recurrence plots for characterizing random dynamical systems},
volume = {94},
year = {2021}
}
@article{Prado2023Sampling,
author = {Thiago de Lima Prado and Vandertone Santos Machado and Gilberto Corso and Gustavo Zampier dos Santos Lima and Sergio Roberto Lopes},
doi = {10.1007/s11071-023-09063-9},
journal = {Nonlinear Dyn.},
month = {11},
pages = {1141-1152},
title = {How to compute suitable vicinity parameter and sampling time of recurrence analysis},
volume = {112},
url = {https://ssrn.com/abstract=4111917},
year = {2023}
}
@article{Spezzatto2024ML,
author = {G. S. Spezzatto and J. V.V. Flauzino and G. Corso and B. R.R. Boaretto and E. E.N. Macau and T. L. Prado and S. R. Lopes},
doi = {10.1063/5.0203801},
issn = {10897682},
issue = {7},
journal = {Chaos},
month = {7},
pmid = {39028905},
publisher = {American Institute of Physics},
title = {Recurrence microstates for machine learning classification},
volume = {34},
year = {2024}
}
@article{daCruz2025RQAMeasures,
title = {Density-based recurrence measures from microstates},
author = {da Cruz, Felipe Eduardo Lopes and Prado, Thiago de Lima and Lopes, Sergio Roberto and Marwan, Norbert and Kurths, J\"urgen},
journal = {Phys. Rev. E},
volume = {111},
issue = {4},
pages = {044212},
numpages = {11},
year = {2025},
month = {Apr},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.111.044212},
}
@article{Flauzino2025Disorder,
author = {João Vitor Vieira Flauzino and Thiago Lima Prado and Norbert Marwan and Jürgen Kurths and Sergio Roberto Lopes},
doi = {10.1103/1y98-x33s},
issn = {10797114},
issue = {9},
journal = {Physical Review Letters},
month = {8},
pages = {097401},
pmid = {40952221},
title = {Quantifying Disorder in Data},
volume = {135},
year = {2025}
}
@article{Ferreira2025RMALib,
author = {Gabriel Vinicius Ferreira and Felipe Eduardo Lopes da Cruz and Gabriel Marghoti and Thiago de Lima Prado and Sergio Roberto Lopes and Norbert Marwan and Jürgen Kurths},
doi = {10.1063/5.0293708},
issn = {1054-1500},
issue = {11},
journal = {Chaos},
month = {11},
title = {RecurrenceMicrostatesAnalysis.jl: A Julia library for analyzing dynamical systems with recurrence microstates},
volume = {35},
year = {2025}
}
@article{Silveira2025ML,
author = {Silveira, J. V. M and Costa, H. C and Spezzatto, G. S and Prado, T. L and Lopes, S. R},
journal = {Braz. J. Phys.},
number = {56},
title = {Classifying Complex Dynamical and Stochastic Systems via Physics-Based Recurrence Features},
volume = {37},
year = {2025},
doi = {10.1007/s13538-025-01969-6}
}