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 - 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.
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.
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.