Translational Recurrences: From Mathematical Theory to Real-World Applications

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Norbert Marwan, Michael Riley, Alessandro Giuliani, Charles L. Webber, Jr.
Springer, Aug 27, 2014 - Computers - 230 pages

This book features 13 papers presented at the Fifth International Symposium on Recurrence Plots, held August 2013 in Chicago, IL. It examines recent applications and developments in recurrence plots and recurrence quantification analysis (RQA) with special emphasis on biological and cognitive systems and the analysis of coupled systems using cross-recurrence methods.

Readers will discover new applications and insights into a range of systems provided by recurrence plot analysis and new theoretical and mathematical developments in recurrence plots. Recurrence plot based analysis is a powerful tool that operates on real-world complex systems that are nonlinear, non-stationary, noisy, of any statistical distribution, free of any particular model type and not particularly long. Quantitative analyses promote the detection of system state changes, synchronized dynamical regimes or classification of system states.

The book will be of interest to an interdisciplinary audience of recurrence plot users and researchers interested in time series analysis of complex systems in general.

 

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Contents

1 A Recurrence PlotBased Distance Measure
1
2 Fast Computation of Recurrences in Long Time Series
16
3 Unthresholded Recurrence Plots for ComplexValued Representations of Narrow Band Signals
30
4 Quantifying Redundancy and Information Content of Lines in Recurrence Plots Using the Theory of Framework Rigidity
55
5 Recent Advances in Nonstationary Signal Processing Based on the Concept of Recurrence Plot Analysis
74
6 A RecurrenceBased Approach for Feature Extraction in BrainComputer Interface Systems
95
Recurrence Plot Analysis
108
The Heart Rate Variability Associated to Different Age Groups
125
The Promises and Challenges of Using Cross Recurrence Quantification Analysis
137
10 CrossRecurrence Quantification Analysis of the Influence of Coupling Constraints on Interpersonal Coordination and Communication
156
11 Recurrence Quantification as an Analysis of Temporal Coordination with Complex Signals
173
12 Synchronicity Assessment Using a Nonparametric Dynamic Dissimilarity Measure
187
13 Understanding the Interrelationship Between Commodity and Stock Indices Daily Movement Using ACE and Recurrence Analysis
211
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