From Cells to Societies

Models of Complex Coherent Action

By: Alexander Mikhailov, Vera Calenbuhr

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Hardcover | 21 February 2006

At a Glance

Hardcover
316 Pages

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23.5 x 15.88 x 1.91

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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.

Industry 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)

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Chaos Theory Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Stochastics Science Physics Applied Physics

Biophysics Statistical Physics

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Paperback

Published: 1st December 2010

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Introduction	p. 1
The Games of Life	p. 5
Excitable Media	p. 5
Collective Amoebae	p. 10
Fish Schools	p. 15
Insect Societies	p. 22
Further Reading	p. 30
Active Motion	p. 33
Elementary Mechanisms of Self-Motion	p. 33
Self-Motion in External Fields	p. 39
Hydrodynamics of Active Fluids	p. 43
Traffic Flows	p. 53
Further Reading	p. 64
Ridden by the Noise	p. 69
Demons and Ratchets	p. 69
Navigation in Fluctuating Fields	p. 76
Long Tails in Probability Distributions	p. 85
Noise as a Resource	p. 94
Further Reading	p. 102
Dynamics with Delays and Expectations	p. 105
The Age Dimension	p. 105
Demographic Waves	p. 108
A Model of the Market Crash	p. 114
Further Reading	p. 119
Mutual Synchronization	p. 127
Interacting Clocks	p. 127
The Synchronization Transition	p. 131
The Influence of Noise	p. 137
Noise-Induced Breakdown of Coherent Active Motion	p. 140
Synchronous Chaos	p. 146
Further Reading	p. 152
Dynamical Clustering	p. 155
Logistic Maps	p. 155
Rössler Oscillators	p. 164
Neural Networks	p. 171
Protein Machines	p. 179
Further Reading	p. 193
Hierarchical Organization	p. 199
Hierarchies	p. 199
The Sherrington-Kirkpatrick Model	p. 205
Replica-Symmetry Breaking in Dynamical Glasses	p. 215
Fluid Turbulence	p. 220
Hierarchically Structured Swarms	p. 224
Further Reading	p. 228
Dynamics and Evolution of Networks	p. 233
Societies	p. 234
Properties of Graphs	p. 238
Clustering and Synchronization in Dynamical Networks	p. 249
Evolution of Graphs	p. 262
Further Reading	p. 274
References	p. 279
Subject Index	p. 297
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From Cells to Societies

Models of Complex Coherent Action

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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