Complex and Adaptive Dynamical Systems

A Primer

  • Claudius Gros

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Claudius Gros
    Pages 1-34
  3. Claudius Gros
    Pages 35-71
  4. Claudius Gros
    Pages 73-104
  5. Claudius Gros
    Pages 135-167
  6. Claudius Gros
    Pages 169-190
  7. Claudius Gros
    Pages 191-229
  8. Claudius Gros
    Pages 231-251
  9. Back Matter
    Pages 253-262

About this book

Introduction

We are living in an ever more complex world, an epoch where human actions can accordingly acquire far-reaching potentialities. Complex and adaptive dynamical systems are ubiquitous in the world surrounding us and require us to adapt to new realities and the way of dealing with them.

This primer has been developed with the aim of conveying a wide range of "commons-sense" knowledge in the field of quantitative complex system science at an introductory level, providing an entry point to this both fascinating and vitally important subject.

The approach is modular and phenomenology driven. Examples of emerging phenomena of generic importance treated in this book are:

-- The small world phenomenon in social and scale-free networks.

-- Phase transitions and self-organized criticality in adaptive systems.

-- Life at the edge of chaos and coevolutionary avalanches resulting from the unfolding of all living.

-- The concept of living dynamical systems and emotional diffusive control within cognitive system theory.

Technical course prerequisites are a basic knowledge of ordinary and partial differential equations and of statistics. Each chapter comes with exercises and suggestions for further reading - solutions to the exercises are also provided.

Keywords

adaptive systems cellular automata complex systems differential equation networks synchronization

Authors and affiliations

  • Claudius Gros
    • 1
  1. 1.Institut für Theoretische PhysikUniversity of Frankfurt60438 FrankfurtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-71874-1
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-71873-4
  • Online ISBN 978-3-540-71874-1
  • About this book