Recurrence plots and recurrence quantification analysis are powerful tools to study the behavior of dynamical systems. What we learn through these tools is typically determined by the choice of a distance threshold in the phase space, which introduces arbitrariness in the definition of recurrence. Not only does symbolic recurrence overcome this difficulty, but also it offers a richer representation that book-keeps the recurrent portions of the phase space. Using symbolic recurrences, we can construct recurrence plots, perform quantification analysis, and examine causal links between dynamical systems from their time-series. Although previous efforts have demonstrated the feasibility of such a symbolic framework on synthetic data, the study of real time-series remains elusive. Here, we seek to bridge this gap by systematically examining a wide range of experimental datasets, from firearm prevalence and media coverage in the United States to the effect of sex on the interaction of swimming fish. This work offers a compelling demonstration of the potential of symbolic recurrence in the study of real-world applications across different research fields while providing a computer code for researchers to perform their own time-series explorations.
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November 2019
Research Article|
November 26 2019
Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming
Alain Boldini;
Alain Boldini
1
Department of Mechanical and Aerospace Engineering, New York University, Tandon School of Engineering
, Brooklyn, New York 11201, USA
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Mert Karakaya;
Mert Karakaya
1
Department of Mechanical and Aerospace Engineering, New York University, Tandon School of Engineering
, Brooklyn, New York 11201, USA
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Manuel Ruiz Marín
;
Manuel Ruiz Marín
2
Department of Quantitative Methods, Law and Modern Languages, Technical University of Cartagena
, 30201 Murcia, Spain
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Maurizio Porfiri
Maurizio Porfiri
a)
1
Department of Mechanical and Aerospace Engineering, New York University, Tandon School of Engineering
, Brooklyn, New York 11201, USA
3
Department of Biomedical Engineering, New York University, Tandon School of Engineering
, Brooklyn, New York 11201, USA
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a)
Author to whom correspondence should be addressed: mporfiri@nyu.edu
Citation
Alain Boldini, Mert Karakaya, Manuel Ruiz Marín, Maurizio Porfiri; Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming. Chaos 1 November 2019; 29 (11): 113128. https://doi.org/10.1063/1.5119883
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