Translational Recurrences: From Mathematical Theory to Real-World Applications (Springer Proceedings in Mathematics & Statistics Book 103)

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 quantifi cation 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 classifi cation of system states. Th e 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 Front Matter....Pages i-viii A Recurrence Plot-Based Distance Measure....Pages 1-15 Fast Computation of Recurrences in Long Time Series....Pages 17-29 Unthresholded Recurrence Plots for Complex-Valued Representations of Narrow Band Signals....Pages 31-53 Quantifying Redundancy and Information Content of Lines in Recurrence Plots Using the Theory of Framework Rigidity....Pages 55-73 Recent Advances in Non-stationary Signal Processing Based on the Concept of Recurrence Plot Analysis....Pages 75-93 A Recurrence-Based Approach for Feature Extraction in Brain-Computer Interface Systems....Pages 95-107 Response to Active Standing of Heart Beat Interval, Systolic Blood Volume and Systolic Blood Pressure: Recurrence Plot Analysis....Pages 109-123 Recurrence Quantification Analysis as a Tool for Discrimination Among Different Dynamics Classes: The Heart Rate Variability Associated to Different Age Groups....Pages 125-136 Analyzing Social Interactions: The Promises and Challenges of Using Cross Recurrence Quantification Analysis....Pages 137-155 Cross-Recurrence Quantification Analysis of the Influence of Coupling Constraints on Interpersonal Coordination and Communication....Pages 157-171 Recurrence Quantification as an Analysis of Temporal Coordination with Complex Signals....Pages 173-186 Synchronicity Assessment Using a Non-parametric Dynamic Dissimilarity Measure....Pages 187-210 Understanding the Interrelationship Between Commodity and Stock Indices Daily Movement Using ACE and Recurrence Analysis....Pages 211-230