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 (9)

• Recurrence Plots for the Analysis of Complex Systems
• Recurrence Plot Based Measures of Complexity and its Application to Heart Rate Variability Data
• Nonlinear analysis of bivariate data with cross recurrence plots
• Cross Recurrence Plot Based Synchronization of Time Series
• 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
• Nonlinear dynamics of giant resonances in atomic nuclei

Cited by in corpus (44)

• Complex network approaches to nonlinear time series analysis
• Recurrence networks - A novel paradigm for nonlinear time series analysis
• Complex Network Approach for Recurrence Analysis of Time Series
• Recurrence-based time series analysis by means of complex network methods
• How to avoid potential pitfalls in recurrence plot based data analysis
• The Geometry of Chaotic Dynamics -- A Complex Network Perspective
• Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package
• Recurrence Plots 25 years later -- gaining confidence in dynamical transitions
• 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
• Evaluation of selected recurrence measures in discriminating pre-ictal and inter-ictal periods from epileptic EEG data
• Multiplex Recurrence Networks
• Analysing spatially extended high-dimensional dynamics by recurrence plots
• Time Series Analysis via Network Science: Concepts and Algorithms
• Estimating coupling directions in the cardio-respiratory system using recurrence properties
• A ring accelerator? Unusual jet dynamics in the IceCube candidate PKS 1502+106
• Fast Automatic Detection of Geological Boundaries from Multivariate Log Data Using Recurrence
• Stickiness and recurrence plots: an entropy-based approach
• Tetradic motif profiles of horizontal visibility graphs
• Deep Graphs - a general framework to represent and analyze heterogeneous complex systems across scales
• Analytic degree distributions of horizontal visibility graphs mapped from unrelated random series and multifractal binomial measures
• Recurrence Analysis of Vegetation Time Series and Phase Transitions in Mediterranean Rangelands
• 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
• Dynamic Natural Language Processing with Recurrence Quantification Analysis
• Bifurcations, time-series analysis of observables, and network properties in a tripartite quantum system
• Triadic time series motifs
• Massive evaluation and analysis of Poincaré recurrences on grids of initial data: a tool to map chaotic diffusion
• Deep Smartphone Sensors-WiFi Fusion for Indoor Positioning and Tracking
• A bibliographic view on recurrence plots and recurrence quantification analyses
• Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models
• Organization of the magnetosphere during substorms
• Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field
• Market inefficiency identified by both single and multiple currency trends
• Characterizing and quantifying weak chaos in fractional dynamics
• Transition to chaos and escape phenomenon in two degrees of freedom oscillator with a kinematic excitation
• An Independence Test Based on Recurrence Rates
• Detection of chaotic behavior in time series
• Design of energy absorbing metamaterials using stochastic soft-wall billiards
• Stochastic energy sink in a low-dimensional Hamiltonian system
• Building Models for Biopathway Dynamics Using Intrinsic Dimensionality Analysis