2015, XIV, 421 p. 210 illus., 107 illus. in color.
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Edited and Authored by leading researchers in the field
Introduces and investigates modern applications in detail
Addresses an interdisciplinary readership
The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology, engineering, physics, geosciences, linguistics, finance, economics, and other disciplines.
This multi-authored book intends to comprehensively introduce and showcase recent advances as well as established best practices concerning both theoretical and practical aspects of recurrence plot based analysis. Edited and authored by leading researcher in the field, the various chapters address an interdisciplinary readership, ranging from theoretical physicists to application-oriented scientists in all data-providing disciplines.
Content Level »Research
Keywords »Analysis of Recurrences - Complex Systems - Dynamical Patterns in Seismology - Long Time-Scale Recurrences in Ecology - Mathematical Analysis of Time-varying - Nonlinear Recurrence Pattern - Phase Space Reconstruction - Recurrence Analysis and Quantification - Recurrences in Dynamical Systems - System Trajectories
Preface.- Mathematical and Computational Foundations of Recurrence.- Estimating Kolmogorov Entropy from Recurrence Plots.-Identifying Coupling Directions by Recurrences.- Complex Network Analysis of Recurrences.- Time Distortions and Other Oddities.- Dynamic Coupling between Respiratry and Cardiovascular System.- Application of Recurrence Quantification to the Analysis of Brain Electrical Activity.- Otoacoustic Emmission in Hearing Research.- Vibration Analysis in Cutting Materials.- Dynamical Patterns in Seismology.- Long Time-Scale Recurrences in Ecology: Detecting Relationships between Climate Dynamics and Biodiversity along a Latitudinal Gradient.- Recurrence Quantification and Recurrence Network Analysis of Global Photosynthetic Activity.- Recurrence Analysis Applications to Short-Term Road Traffic.- Interpersonal Couplings in Human Interactions.