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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 paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising mathematical structures. In the applied sciences, deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which do not seem to be inherently stochastic. The most direct link between chaos theory and the real world is the analysis of time series from real systems in terms of nonlinear dynamics. Experimental technique and data analysis have seen such dramatic progress that, by now, most fundamental properties of nonlinear dynamical systems have been observed in the laboratory. Great efforts are being made to exploit ideas from chaos theory wherever the data displays more structure than can be captured by traditional methods. Problems of this kind are typical in biology and physiology but also in geophysics, economics, and many other sciences.

    • 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

    From reviews of the first edition: '… any serious physics institute should have such a book on its shelves. It will be of use to any experimental scientist dealing with nonlinear data or a theoretical physicist who desires a feeling of 'how one does it in an experiment'. The clear course of presentation should make it accessible to undergraduate students.' Daniel Wojcik, Pageoph

    'This book will be of value to any graduate student or researcher who needs to be able to analyse time series data, especially in the fields of physics, chemistry, biology, geophysics, medicine, economics and the social sciences.' Mathematical Reviews

    '… a very readable introduction to the concepts and clear descriptions of the techniques, as well as cautions, where appropriate, about potential pitfalls and misuses of the methods. … the book is a good reference to the current state of the art from the nonlinear dynamics community and is important reading for anyone faced with interpreting irregular time series.' Contemporary Physics

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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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