## Translational Recurrences: From Mathematical Theory to Real-World ApplicationsNorbert Marwan, Michael Riley, Alessandro Giuliani, Charles L. Webber, Jr. 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 | |

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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Translational Recurrences: From Mathematical Theory to Real-World Applications No preview available - 2014 |