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Complex Systems: Chaos and Beyond

A Constructive Approach with Applications in Life Sciences

  • Book
  • © 2001

Overview

Authors:
  1. Kunihiko Kaneko

    1. Department of Pure and Applied Sciences, University of Tokyo, Meguro Tokyo, Japan

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  2. Ichiro Tsuda

    1. Department of Mathematics Graduate School of Science, Hokkaido University, Sapporo, Japan

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  • Both authors have an outstanding academic record as far as their research in the field of chaos theory is concerned
  • This book, the first among a planned series of many on this subject, is the outcome of many years of efforts to give an new all-encompassing approach to complex systems in nature based on chaos theory
  • Includes supplementary material: sn.pub/extras

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Necessity for a Science of Complex Systems

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 1-32

  3. Observation Problems from an Information-Theoretical Viewpoint

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 33-55

  4. CMLs: Constructive Approach to Spatiotemporal Chaos

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 57-106

  5. Networks of Chaotic Elements

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 107-161

  6. Significance of Coupled Chaotic Systems to Biological Networks

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 163-190

  7. Chaotic Information Processing in the Brain

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 191-236

  8. Conversations with Authors

    • Kunihiko Kaneko, Ichiro Tsuda
    Pages 237-250

  9. Back Matter

    Pages 251-273
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Keywords

About this book

Chaos in science has always been a fascinating realm since it challenges the usual scientific approach of reductionism. While carefully distinguishing between complexity, holism, randomness, incompleteness, nondeterminism and stochastic behaviour the authors show that, although many aspects of chaos have been phenomenologically understood, most of its defining principles are still difficult to grasp and formulate. Demonstrating that chaos escapes all traditional methods of description, the authors set out to find new methods to deal with this phenomenon and illustrate their constructive approach with many examples from physics, biology and information technology. While maintaining a high level of rigour, an overly complicated mathematical apparatus is avoided in order to make this book accessible, beyond the specialist level, to a wider interdisciplinary readership.

Reviews

From the reviews:

SIAM REVIEW

"To sum up, the book should be a must-read for those interested in the modeling of coupled nonlinear systems…the interest of the global view of complexity that it provides makes it a highly recommendable read."

Authors and Affiliations

  • Department of Pure and Applied Sciences, University of Tokyo, Meguro Tokyo, Japan

    Kunihiko Kaneko

  • Department of Mathematics Graduate School of Science, Hokkaido University, Sapporo, Japan

    Ichiro Tsuda

Bibliographic Information

  • Book Title: Complex Systems: Chaos and Beyond

  • Book Subtitle: A Constructive Approach with Applications in Life Sciences

  • Authors: Kunihiko Kaneko, Ichiro Tsuda

  • DOI: https://doi.org/10.1007/978-3-642-56861-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2001

  • Hardcover ISBN: 978-3-540-67202-9Published: 04 October 2000

  • Softcover ISBN: 978-3-642-63132-0Published: 21 October 2012

  • eBook ISBN: 978-3-642-56861-9Published: 28 June 2011

  • Edition Number: 1

  • Number of Pages: XIII, 274

  • Additional Information: Original Japanese edition published by Asakura Publishing Co., Ltd., Tokyo, Japan, 1996

  • Topics: Dynamical Systems and Ergodic Theory, Complex Systems, Mathematical and Computational Biology, Statistical Physics and Dynamical Systems

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