Time series embedding and reconstruction -- Dynamic measures and topological invariants -- Estimation of correlation dimension -- The method of surrogate data -- Non-standard and non-linear surrogates -- Identifying the dynamics -- Applications
Summary
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: quan