Applied Nonlinear Time Series Analysis: Applications in Physics, Medicine and Economics (World Scientific Series on Nonlinear Science Series A)

Applied Nonlinear Time Series Analysis: Applications in Physics, Medicine and Economics (World Scientific Series on Nonlinear Science Series A)

By: Michael Small (author)Hardback

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Description

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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Contents

# Times Series Embedding and Reconstruction # Dynamics Measures and Topological Invariants # Estimation of Correlation Dimension # The Method of Surrogate Data # Non-Standard and Nonlinear Surrogates # Identifying the Dynamics # Applications

Product Details

  • publication date: 28/03/2005
  • ISBN13: 9789812561176
  • Format: Hardback
  • Number Of Pages: 260
  • ID: 9789812561176
  • weight: 517
  • ISBN10: 981256117X

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