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  • © 2001

Complex Systems: Chaos and Beyond

A Constructive Approach with Applications in Life Sciences

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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    You can also search for this author in PubMed   Google Scholar

  • 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

Sections

eBook USD 109.00
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  • ISBN: 978-3-642-56861-9
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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIII
    PDF

  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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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.
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Keywords

  • Chaos
  • Computerassistierte Detektion
  • bifurcation
  • biology
  • chaos theory
  • complex system
  • complex systems
  • information theory
  • life sciences
  • nonlinear dynamics
  • stochastic processes
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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."

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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

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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, Complex Systems, Mathematical and Computational Biology, Theoretical, Mathematical and Computational Physics

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Access via your institution
eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-642-56861-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.99
Price excludes VAT (USA)
Hardcover Book USD 149.99
Price excludes VAT (USA)
Learn about institutional subscriptions