Complex and Adaptive Dynamical Systems

A Primer

  • Claudius Gros

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Claudius Gros
    Pages 1-38
  3. Claudius Gros
    Pages 39-78
  4. Claudius Gros
    Pages 79-108
  5. Claudius Gros
    Pages 109-143
  6. Claudius Gros
    Pages 215-242
  7. Claudius Gros
    Pages 243-282
  8. Claudius Gros
    Pages 283-314
  9. Back Matter
    Pages 315-325

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.

This second edition adds a new chapter on quantifiying/measuring complexity in given systems, together with an introduction to information theory, has an expanded exercises and solutions section, and contains both revised and additional subsections.

Keywords

adaptive systems cellular automata complex systems networks synchronization

Authors and affiliations

  • Claudius Gros
    • 1
  1. 1.Institut für Theoretische PhysikUniversität FrankfurtFrankfurtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-04706-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-04705-3
  • Online ISBN 978-3-642-04706-0
  • About this book