The Wiener-Khinchin theorem and recurrence quantification

DOI10.1016/J.PHYSLETA.2008.09.027zbMath1225.37048OpenAlexW2057785072MaRDI QIDQ644132

Norbert Marwan, Joseph P. Zbilut

Publication date: 2 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.09.027

zbMATH Keywords

recurrencesWiener-Khinchin theoremrecurrence quantification analysis

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Chemically reacting flows (80A32) Reaction effects in flows (76V05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

Comment on ``Stochastic analysis of recurrence plots with applications to the detection of deterministic signals by Rohde et al. ⋮ Recurrence plots of discrete-time Gaussian stochastic processes ⋮ Recurrence plots for characterizing random dynamical systems ⋮ Fractal analysis of recurrence networks constructed from the two-dimensional fractional Brownian motions ⋮ Simpler methods do it better: success of recurrence quantification analysis as a general purpose data analysis tool

Cites Work

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• Nonlinear analysis of bivariate data with cross recurrence plots
• Stochastic analysis of recurrence plots with applications to the detection of deterministic signals
• Cross recurrence quantification of coupled oscillators
• Recurrence quantification analysis of the logistic equation with transients.
• RECURRENCE QUANTIFICATION ANALYSIS: INTRODUCTION AND HISTORICAL CONTEXT

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