© 2008

Complex and Adaptive Dynamical Systems

A Primer


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


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.


adaptive systems cellular automata complex systems differential equation networks synchronization

Authors and affiliations

  1. 1.Institut für Theoretische PhysikUniversity of Frankfurt60438 FrankfurtGermany

Bibliographic information

Industry Sectors
Finance, Business & Banking


From the reviews:

"This is a very interesting introductory book written for a broad audience of graduate students in natural sciences and engineering. It can be equally well used both for teaching and self-education. … very well structured and every topic is illustrated by simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. … Every chapter is followed by theoretical and computational exercises (with detailed solutions presented at the end of the book) and a list of references for further reading." (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008)

"Claudius Gros’s Complex and Adaptive Dynamical Systems: A Primer is a welcome addition to the literature. … A particular strength of the book is its emphasis on analytical techniques for studying complex systems. … Gros’s book is for a fairly advanced and mathematically sophisticated audience … in the field. … Complex and Adaptive Dynamical Systems could be a fine option for well-prepared students looking for a focused introduction to complex systems … ." (David P. Feldman, Physics Today, July, 2009)