Complex and Adaptive Dynamical Systems
A Primer
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Beschreibung
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.
Complex and adaptive dynamical systems are ubiquitous, forcing us to continually adapt to new realities. In response, this book presents a wide range of findings in the field of quantitative complex system science that help us understand our complex world. The book’s approach is modular and phenomenology driven. Examples of emerging phenomena treated in this book include the small world phenomenon in social and scale-free networks; life at the edge of chaos; the concept of living dynamical systems; and emotional diffusive control within cognitive system theory. Each chapter includes exercises to test the reader’s grasp of new material. Solutions to the exercises are provided. Suggestions for further reading guide readers to the primary and secondary literature. Written at an introductory level, the author provides an accessible entry into this fascinating and vitally important subject for graduate students in physics, mathematics, and theoretical computer science.
First modular primer of its kind Includes supplementary material: sn.pub/extras
Autor*in
Claudius Gros
Themen in »Complex and Adaptive Dynamical Systems«
adaptive systems cellular automata complex systems differential equation networks synchronization
Stimmen zu »Complex and Adaptive Dynamical Systems«
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)
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