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From Cells to Societies

Models of Complex Coherent Action

  • Book
  • © 2002

Overview

Authors:
  1. Alexander S. Mikhailov

    1. Fritz-Haber-Institut, Max-Planck-Gesellschaft, Berlin, Germany

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  2. Vera Calenbuhr

    1. Joint Research Center, Directorate for Science Strategy European Commission, Brussels, Belgium

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  • An interdisciplinary title
  • Uses simple models to show how to gain remarkable insights into the behavior of complex systems
  • Models chosen from physics, biochemistry, biology, sociology and economics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Synergetics (SSSYN)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 1-4

  3. The Games of Life

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 5-32

  4. Active Motion

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 33-68

  5. Ridden by the Noise ...

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 69-104

  6. Dynamics with Delays and Expectations

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 105-125

  7. Mutual Synchronization

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 127-153

  8. Dynamical Clustering

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 155-197

  9. Hierarchical Organization

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 199-231

  10. Dynamics and Evolution of Networks

    • Alexander S. Mikhailov, Vera Calenbuhr
    Pages 233-277

  11. Back Matter

    Pages 279-302
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Keywords

About this book

This book, written by two well-known scientists, represents an excellent ad­ dition to the Springer Series in Synergetics in several ways. It shows how by rather simple models we can gain remarkable insights into the behavior of complex systems. At the same time it demonstrates the progress made in this interdisciplinary field. While in the early days of Synergetics, the self­ organized coherent action of atoms in the laser - a physical device - was in the foreground of interest (cf. my book Synergetics: An Introduction (Springer, Berlin, Heidelberg, New York 1977)), the coherent action of nerve cells got into the focus of research, as is witnessed by the book by P. Tass in this series (P. Tass, Phase Resetting in Medicine and Biology (Springer, Berlin, Heidel­ berg, New York 1999)). In these books the elements were disturbed by noise. Now, in the present book by Mikhailov and Calenbuhr, the self-organized coherent action of otherwise chaotic elements is studied and important as well as surprising results by Kaneko, Mikhailov and others are presented. Let me mention just another highly interesting problem treated in this book: the coherent interaction of tens of thousands of reactions going on in biological cells. But other phenomena, such as the formation of swarms of fish or the collective behavior of ants, are also modelled. These are just a few examples of the many fascinating subjects dealt with in this book that relate to many disciplines under unifying aspects.

Reviews

From the reviews:

"The book provides an elementary introduction to the collective dynamics for researchers and graduate students in a variety of disciplines, such as physics, chemistry, biology and social sciences." (Zentralblatt MATH, 1011, 2003)

"This book constitutes a reference of invaluable usefulness for all researchers interested in the study of collective phenomena. … Moreover, each topic is presented in a form which, without neglecting all mathematical details, allows for an immediate understanding of its deep conceptual grounds … . This book is highly recommended also because it contains discussions of some subjects which it would be difficult to find elsewhere." (E. Pessa, Mathematical Reviews, Issue 2004 c)

Authors and Affiliations

  • Fritz-Haber-Institut, Max-Planck-Gesellschaft, Berlin, Germany

    Alexander S. Mikhailov

  • Joint Research Center, Directorate for Science Strategy European Commission, Brussels, Belgium

    Vera Calenbuhr

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