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Complex and Adaptive Dynamical Systems: A Primer
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
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 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)
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
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 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)
Kindle Edition
First published February 25, 2007
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Displaying 1 - 3 of 3 reviews
April 7, 2021
I read this book and it is a very fascinating read. I did not do exercises, it would be fun to follow Prof. Gros course on the topic and really dive into this material . See: https://itp.uni-frankfurt.de/~gros/Vo... I hope to return to this book in the future to gain a more applied understanding than my current one.
July 4, 2018
This book is fantastic! One of the best books I have read.
I suggest you to read it, if you wan’t to know about complexity, chaos, criticality and self organized criticality, graph theory and most of the things which may be interesting to you.
I suggest you to read it, if you wan’t to know about complexity, chaos, criticality and self organized criticality, graph theory and most of the things which may be interesting to you.
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July 22, 2010potentially good intro to complex systems
Displaying 1 - 3 of 3 reviews