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APPLIED NONLINEAR TIME SERIES ANALYSIS: APPLICATIONS IN PHYSICS, PHYSIOLOGY AND FINANCE
by Michael Small (Hong Kong Polytechnic University, China)
Table of Contents (124k)
Preface (236k)
Chapter 1: Time series embedding and reconstruction (765k)
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.
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