Faithfulness of Recurrence Plots: A Mathematical Proof

DOI10.1142/S0218127415501680zbMath1328.37056OpenAlexW2181476714MaRDI QIDQ3462295

Shunsuke Horai, Motomasa Komuro, Kazuyuki Aihara, Yoshito Hirata

Publication date: 5 January 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415501680

zbMATH Keywords

metricnonlinear time series analysisreconstruction of original time series

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

Examining k-nearest neighbour networks: Superfamily phenomena and inversion ⋮ Recurrence plots for characterizing random dynamical systems ⋮ Permutations uniquely identify states and unknown external forces in non-autonomous dynamical systems ⋮ Deep Learning for Nonlinear Time Series: Examples for Inferring Slow Driving Forces

Uses Software

• K2

Cites Work

• How much information is contained in a recurrence plot?
• STRONG LAWS FOR RECURRENCE QUANTIFICATION ANALYSIS
• STATISTICAL TESTS FOR SERIAL DEPENDENCE AND LAMINARITY ON RECURRENCE PLOTS
• DETECTING NONLINEARITIES IN STATIONARY TIME SERIES
• Recurrences determine the dynamics

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