Michael Small, "Applied Nonlinear Time Series Analysis: Applications in Physics, Physiology and Finance"
English | 2005 | ISBN: 981256117X | DJVU | pages: 245 | 2.4 mb
English | 2005 | ISBN: 981256117X | DJVU | pages: 245 | 2.4 mb
Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade. Implementations of these methods for experimental data are now widely accepted and fairly routine; however, genuinely useful applications remain rare. This book focuses on the practice of applying these methods to solve real problems.To illustrate the usefulness of these methods, a wide variety of physical and physiological systems are considered. The technical tools utilized in this book fall into three distinct, but interconnected areas: quantitative measures of nonlinear dynamics, Monte-Carlo statistical hypothesis testing, and nonlinear modeling. Ten highly detailed applications serve as case studies of fruitful applications and illustrate the mathematical techniques described in the text.