Physics of Solids and Liquids

Order and Chaos in Nonlinear Physical Systems

Editors: Lundqvist, Stig, March, Norman H., Tosi, Mario P. (Eds.)

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About this book

This volume is concerned with the theoretical description of patterns and instabilities and their relevance to physics, chemistry, and biology. More specifically, the theme of the work is the theory of nonlinear physical systems with emphasis on the mechanisms leading to the appearance of regular patterns of ordered behavior and chaotic patterns of stochastic behavior. The aim is to present basic concepts and current problems from a variety of points of view. In spite of the emphasis on concepts, some effort has been made to bring together experimental observations and theoretical mechanisms to provide a basic understanding of the aspects of the behavior of nonlinear systems which have a measure of generality. Chaos theory has become a real challenge to physicists with very different interests and also in many other disciplines, of which astronomy, chemistry, medicine, meteorology, economics, and social theory are already embraced at the time of writing. The study of chaos-related phenomena has a truly interdisciplinary charac­ ter and makes use of important concepts and methods from other disciplines. As one important example, for the description of chaotic structures the branch of mathematics called fractal geometry (associated particularly with the name of Mandelbrot) has proved invaluable. For the discussion of the richness of ordered structures which appear, one relies on the theory of pattern recognition. It is relevant to mention that, to date, computer studies have greatly aided the analysis of theoretical models describing chaos.

Table of contents (17 chapters)

  • Chaos, Order, Patterns, Fractals—An Overview

    Lundqvist, S.

    Pages 1-37

  • An Introduction to the Properties of One-Dimensional Difference Equations

    Rowlands, G.

    Pages 39-62

  • Spectral Transform and Solitons: How to Solve and Investigate Nonlinear Evolution Equations

    Calogero, F. (et al.)

    Pages 63-137

  • Homogeneous Isothermal Oscillations and Spatiotemporal Organization in Chemical Reactions

    Kepper, P.

    Pages 139-166

  • Synergetics—From Physics to Biology

    Haken, H.

    Pages 167-192

Buy this book

eBook $269.00
price for USA (gross)
  • ISBN 978-1-4899-2058-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $339.00
price for USA
  • ISBN 978-0-306-42847-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $339.00
price for USA
  • ISBN 978-1-4899-2060-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Order and Chaos in Nonlinear Physical Systems
Editors
  • Stig Lundqvist
  • Norman H. March
  • Mario P. Tosi
Series Title
Physics of Solids and Liquids
Copyright
1988
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4899-2058-4
DOI
10.1007/978-1-4899-2058-4
Hardcover ISBN
978-0-306-42847-0
Softcover ISBN
978-1-4899-2060-7
Edition Number
1
Number of Pages
XVII, 469
Topics