Symbolic recurrence plots to analyze dynamical systems

DOI10.1063/1.5026743zbMath1396.37087OpenAlexW2807908720WikidataQ89363221 ScholiaQ89363221MaRDI QIDQ4583556

Manuel Ruiz Marin, Maria Victoria Caballero Pintado, Mariano Matilla-García

Publication date: 31 August 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5026743

zbMATH Keywords

bifurcationscoexistence of attractorsstructural changetransient behaviorsymbolic correlation integral

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (5)

Recurrence Quantification Analysis of the Period-Doubling Sequence ⋮ Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming ⋮ Characterizing the complexity of time series networks of dynamical systems: A simplicial approach ⋮ Heterogeneous recurrence analysis of spatial data ⋮ Transfer entropy on symbolic recurrences

Uses Software

• PhysioToolkit
• K2

Cites Work

• Influence of observational noise on the recurrence quantification analysis
• Permutation complexity in dynamical systems. Ordinal patterns, permutation entropy and all that
• Iterated maps on the interval as dynamical systems
• Measuring the strangeness of strange attractors
• A new chaotic attractor
• Recurrence quantification analysis of the logistic equation with transients.
• Symbolic correlation integral

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