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Nonlinear Time Series Analysis

2nd Edition

$75.00 ( ) USD

  • Authors:
  • Holger Kantz, Max-Planck-Institut für Physik komplexer Systeme, Dresden
  • Thomas Schreiber, Max-Planck-Institut für Physik komplexer Systeme, Dresden
  • Date Published: February 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511075421

$ 75.00 USD ( )
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About the Authors
  • The time variability of many natural and social phenomena is not well described by standard methods of data analysis. However, nonlinear time series analysis uses chaos theory and nonlinear dynamics to understand seemingly unpredictable behavior. The results are applied to real data from physics, biology, medicine, and engineering in this volume. Researchers from all experimental disciplines, including physics, the life sciences, and the economy, will find the work helpful in the analysis of real world systems. First Edition Hb (1997): 0-521-55144-7 First Edition Pb (1997): 0-521-65387-8

    • Greatly updated edition of a book that sold more than 4000 copies and had terrific reviews
    • Unique in its use of real-world examples
    • Broad scope of applications across the sciences and social sciences
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    Reviews & endorsements

    "...original, fundamentally honest, and very useful and valuable...an indispensable tool for [those] confronted with the analysis of possibly chaotic signals." Journal of Biological Sciences

    "The book is a good reference to the current state of the art from the nonlinear dynamics community and is importnant reading for anyone faced with interpreting irregular time series." Contemporary Physics, Professor R.S. MacKay

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    Product details

    • Edition: 2nd Edition
    • Date Published: February 2005
    • format: Adobe eBook Reader
    • isbn: 9780511075421
    • contains: 118 b/w illus. 4 tables 43 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    Acknowledgements
    Part I. Basic Topics:
    1. Introduction: why nonlinear methods?
    2. Linear tools and general considerations
    3. Phase space methods
    4. Determinism and predictability
    5. Instability: Lyapunov exponents
    6. Self-similarity: dimensions
    7. Using nonlinear methods when determinism is weak
    8. Selected nonlinear phenomena
    Part II. Advanced Topics:
    9. Advanced embedding methods
    10. Chaotic data and noise
    11. More about invariant quantities
    12. Modelling and forecasting
    13. Non-stationary signals
    14. Coupling and synchronisation of nonlinear systems
    15. Chaos control
    Appendix A: using the TISEAN programs
    Appendix B: description of the experimental data sets
    References
    Index.

  • Authors

    Holger Kantz, Max-Planck-Institut für Physik komplexer Systeme, Dresden

    Thomas Schreiber, Max-Planck-Institut für Physik komplexer Systeme, Dresden

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