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  • Book
  • © 1989

Measures of Complexity and Chaos

Editors:

  1. Neal B. Abraham

    1. Department of Physics, Bryn Mawr College, Bryn Mawr, USA

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  2. Alfonso M. Albano

    1. Department of Physics, Bryn Mawr College, Bryn Mawr, USA

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  3. Anthony Passamante

    1. Naval Air Development Center, Warminster, USA

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  4. Paul E. Rapp

    1. Department of Physiology and Biochemistry, The Medical College of Pennsylvania, Philadelphia, USA

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Part of the book series: NATO Science Series B: (NSSB, volume 208)

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Table of contents (64 chapters)

  1. Front Matter

    Pages i-x
    PDF

  2. Complexity and Chaos

    1. Complexity and Chaos

      • N. B. Abraham, A. M. Albano, N. B. Tufillaro
      Pages 1-27

  3. Chaotic Metamorphoses

    1. Chaotic Metamorphoses

      • Linda Caruso-Haviland, Paul E. Rapp
      Pages 29-31

  4. Characterizing Temporal Complexity: Chaos

    1. Measuring Dimensions, Entropies and Lyapunov Exponents

      1. Measures of Dimensions from Astrophysical Data
        • H. Atmanspacher, V. Demmel, G. Morfill, H. Scheingraber, W. Voges, G. Wiedenmann
        Pages 33-49
      11. Estimating Local Intrinsic Dimensionality Using Thresholding Techniques
        • A. Goel, S. S. Rao, A. Passamante
        Pages 125-128
      12. Seeking Dynamically Connected Chaotic Variables
        • K. Hartt, L. M. Kahn
        Pages 129-132
      13. On Problems Encountered with Dimension Calculations
        • U. Hübner, W. Klische, N. B. Abraham, C. O. Weiss
        Pages 133-136
      15. Analyzing Periodic Saddles in Experimental Strange Attractors
        • Daniel P. Lathrop, Eric J. Kostelich
        Pages 147-154
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About this book

This volume serves as a general introduction to the state of the art of quantitatively characterizing chaotic and turbulent behavior. It is the outgrowth of an international workshop on "Quantitative Measures of Dynamical Complexity and Chaos" held at Bryn Mawr College, June 22-24, 1989. The workshop was co-sponsored by the Naval Air Development Center in Warminster, PA and by the NATO Scientific Affairs Programme through its special program on Chaos and Complexity. Meetings on this subject have occurred regularly since the NATO workshop held in June 1983 at Haverford College only two kilometers distant from the site of this latest in the series. At that first meeting, organized by J. Gollub and H. Swinney, quantitative tests for nonlinear dynamics and chaotic behavior were debated and promoted [1). In the six years since, the methods for dimension, entropy and Lyapunov exponent calculations have been applied in many disciplines and the procedures have been refined. Since then it has been necessary to demonstrate quantitatively that a signal is chaotic rather than it being acceptable to observe that "it looks chaotic". Other related meetings have included the Pecos River Ranch meeting in September 1985 of G. Mayer­ Kress [2) and the reflective and forward looking gathering near Jerusalem organized by M. Shapiro and I. Procaccia in December 1986 [3). This meeting was proof that interest in measuring chaotic and turbulent signals is widespread.
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Keywords

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Editors and Affiliations

  • Department of Physics, Bryn Mawr College, Bryn Mawr, USA

    Neal B. Abraham, Alfonso M. Albano

  • Naval Air Development Center, Warminster, USA

    Anthony Passamante

  • Department of Physiology and Biochemistry, The Medical College of Pennsylvania, Philadelphia, USA

    Paul E. Rapp

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Bibliographic Information

  • Book Title: Measures of Complexity and Chaos

  • Editors: Neal B. Abraham, Alfonso M. Albano, Anthony Passamante, Paul E. Rapp

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4757-0623-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Softcover ISBN: 978-1-4757-0625-3Published: 12 July 2012

  • eBook ISBN: 978-1-4757-0623-9Published: 09 March 2013

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: 486

  • Number of Illustrations: 330 b/w illustrations

  • Topics: Electrical Engineering, Theoretical, Mathematical and Computational Physics

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Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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