Overview
- Uniquely combines network theory and dynamical systems approaches
- Contains end-of-chapter exercices and solutions
- 4e significantly expanded, with a new chapter on self-organization and pattern formation as well as further new material and exercices
- Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
- Complex Systems Textbook
- Complexity Measures and Information Theory
- Emergent Phenomena
- Graph Topologies and Random Networks
- Nonlinear Dynamics Textbook
- Random Walks, Diffusion and Lévy Flights
- Self-organization and Pattern Formation
- Self-organized Criticality
- Synchronization in Complex Networks
- complexity
About this book
This primer offers readers an introduction to the central concepts that form our modern understanding of complex and emergent behavior, together with detailed coverage of accompanying mathematical methods. All calculations are presented step by step and are easy to follow.
This new fourth edition has been fully reorganized and includes new chapters, figures and exercises. The core aspects of modern complex system sciences are presented in the first chapters, covering network theory, dynamical systems, bifurcation and catastrophe theory, chaos and adaptive processes, together with the principle of self-organization in reaction-diffusion systems and social animals. Modern information theoretical principles are treated in further chapters, together with the concept of self-organized criticality, gene regulation networks, 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 includes exercises and suggestions for further reading, and the solutions to all 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 teac
hing and self-education. Very well structured and every topic is illustrated with 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’ 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
“The author combines in the book theoretical elements with their applications, realizing an interesting work with potential practical applications in the domain of complex and adaptive dynamical systems. The book can be read without advanced knowledge in the domain and can be useful to researchers dealing with complex and adaptive dynamical systems.” (Gheorghe Tigan, zbMATH 1317.93001, 2015)
Authors and Affiliations
About the author
Prof. Claudius Gros holds a chair in theoretical physics at the Johann Wolfgang von Goethe University in Frankfurt am Main, Germany. After completing a PhD in theoretical condensed-matter physics in 1988 at the ETH in Zurich, Switzerland, Prof. Gros went as Chester-Davies fellow to Indiana University, US, before returning to Germany. His present research interests include Cognitive System Theory and Solid State Physics, with emphasis on high-temperature superconductors.
Bibliographic Information
Book Title: Complex and Adaptive Dynamical Systems
Book Subtitle: A Primer
Authors: Claudius Gros
DOI: https://doi.org/10.1007/978-3-319-16265-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-16264-5Published: 14 April 2015
eBook ISBN: 978-3-319-16265-2Published: 01 April 2015
Edition Number: 4
Number of Pages: XVI, 422
Number of Illustrations: 31 b/w illustrations, 132 illustrations in colour
Topics: Applications of Graph Theory and Complex Networks, Complexity, Complex Systems, Applications of Nonlinear Dynamics and Chaos Theory, Vibration, Dynamical Systems, Control