Complex and Adaptive Dynamical Systems

A Primer

Authors: Gros, Claudius

  • Course-tested, tutorial presentation at graduate level 
  • Contains end-of-chapter exercices and solutions
  • Suitable as modular textbook and for self-study
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  • ISBN 978-3-642-36586-7
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About this Textbook

Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved.

All calculations are presented step by step and are straightforward to follow. This new third edition comes with new material, figures and exercises.

Network theory, dynamical systems and information theory, the core of modern complex system sciences, are developed in the first three chapters, covering basic concepts and phenomena like small-world networks, bifurcation theory and information entropy.

Further chapters use a modular approach to address the most important concepts in complex system sciences, with the emergence and self-organization playing a central role. Prominent examples are self-organized criticality in adaptive systems, life at the edge of chaos, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain.

Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter comes with exercises and suggestions for further reading - solutions to the exercises are provided in the last chapter.

From the reviews of previous editions:

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. (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. (David P. Feldman, Physics Today, July, 2009)

Reviews

From the reviews of the third edition:

“The textbook reviews several different aspects of the complex systems and mostly focuses on interdisciplinary problems. … At the end of each chapter some exercises are formulated not only for the theoretical study but for the numerical simulation. Each chapter also contains the list of references for further reading. This textbook is an useful introduction to complex and dynamic systems and can be used for a study courses.” (Valeriy N. Tkachenko, zbMATH, Vol. 1278, 2014)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-642-36586-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Complex and Adaptive Dynamical Systems
Book Subtitle
A Primer
Authors
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-36586-7
DOI
10.1007/978-3-642-36586-7
Edition Number
3
Number of Pages
XIV, 345
Number of Illustrations and Tables
61 b/w illustrations, 63 illustrations in colour
Topics