Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming

Alain Boldini, Mert Karakaya, Manuel Ruiz Marín, Maurizio Porfiri

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Article number113128
JournalChaos
Volume29
Issue number11
DOIs
StatePublished - Nov 1 2019

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fishes
Fish
Recurrence
Time series
Experimental Data
Recurrence Plot
dynamical systems
Dynamical systems
plots
Phase Space
Dynamical system
Recurrence Quantification Analysis
Demonstrations
Synthetic Data
Real-world Applications
Quantification
computer programs
Coverage
thresholds
Swimming

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming. / Boldini, Alain; Karakaya, Mert; Ruiz Marín, Manuel; Porfiri, Maurizio.

In: Chaos, Vol. 29, No. 11, 113128, 01.11.2019.

Research output: Contribution to journalArticle

Boldini, Alain ; Karakaya, Mert ; Ruiz Marín, Manuel ; Porfiri, Maurizio. / Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming. In: Chaos. 2019 ; Vol. 29, No. 11.
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