Historical Review of Recurrence Plots

Abstract

In the last two decades recurrence plots (RPs) were introduced in many different scientific disciplines. It turned out how powerful this method is. After introducing approaches of quantification of RPs and by the study of relationships between RPs and fundamental properties of dynamical systems, this method attracted even more attention. After 20 years of RPs it is time to summarise this development in a historical context.

References in corpus (5)

• Recurrence Plots for the Analysis of Complex Systems
• Recurrence plot statistics and the effect of embedding
• Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods
• Line Structures in Recurrence Plots
• Generalised Recurrence Plot Analysis for Spatial Data

Cited by in corpus (23)

• Complex network approaches to nonlinear time series analysis
• Complex Network Approach for Recurrence Analysis of Time Series
• Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
• Determination of chaotic behaviour in time series generated by charged particle motion around magnetized Schwarzschild black holes
• Analysing spatially extended high-dimensional dynamics by recurrence plots
• Time Series Analysis via Network Science: Concepts and Algorithms
• A ring accelerator? Unusual jet dynamics in the IceCube candidate PKS 1502+106
• Stickiness and recurrence plots: an entropy-based approach
• Analytic degree distributions of horizontal visibility graphs mapped from unrelated random series and multifractal binomial measures
• Challenges and perspectives in recurrence analyses of event time series
• Geometric and dynamic perspectives on phase-coherent and noncoherent chaos
• Identification of single- and double-well coherence-incoherence patterns by the binary distance matrix
• Deterministic Aspect of the $\gamma$-ray Variability in Blazars
• Regime change detection in irregularly sampled time series
• A bibliographic view on recurrence plots and recurrence quantification analyses
• Deep Smartphone Sensors-WiFi Fusion for Indoor Positioning and Tracking
• Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models
• Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field
• Characterizing and quantifying weak chaos in fractional dynamics
• Transition to chaos and escape phenomenon in two degrees of freedom oscillator with a kinematic excitation
• Detection of chaotic behavior in time series
• Stochastic energy sink in a low-dimensional Hamiltonian system
• Design of energy absorbing metamaterials using stochastic soft-wall billiards