Overview
- Suitable for the study of complex systems theory, teaching purposes, and as a reference
- Fully revised 5th edition, now featuring a new chapter on machine learning
- Expanded solutions available for all end-of-chapter exercises
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
- network theory
- deterministic chaos
- bifurcation theory vs. rate-induced tipping
- self-organized criticality
- information theory in complex systems
- game theory of the tragedy of the commons
- synchronization phenomena in complex networks
- emergent phenomena in darwinian evolution
- complexity of machine learning
About this book
This textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced and explained on the run. All derivations are presented step-by-step. This new fifth edition has been fully revised and includes a new chapter, a range of new sections, figures and exercises. The Solution chapter has been reorganized for clarity.
The core aspects of modern complex system sciences are presented in the first chapters, covering the foundations of network- and dynamical system theory, with a particular focus on scale-free networks and tipping phenomena. The notion of deterministic chaos is treated together with bifurcation theory and the intricacies of time delays. Modern information theoretical principles are discussed in further chapters, together with the notion of self-organized criticality, synchronization phenomena, and a game-theoretical treatment of the tragedy of the commons. The dynamical systems view of modern machine learning is presented in a new chapter.
Chapters include exercises and suggestions for further reading. The textbook is suitable for graduate and advanced undergraduate students. The prerequisites are the basic mathematical tools of courses in natural sciences, computer science or engineering.
Authors and Affiliations
About the author
Professor Claudius Gros currently holds a chair in theoretical physics at Johann Wolfgang von Goethe University in Frankfurt am Main, Germany. He completed his PhD in theoretical condensed-matter physics in 1988 at ETH in Zürich, Switzerland. Afterward, Prof. Gros served as the Chester-Davies fellow at Indiana University, US, before returning to Germany. His current research interests revolve around complex systems theory, including self-organized robotics and the physics of AI.
Bibliographic Information
Book Title: Complex and Adaptive Dynamical Systems
Book Subtitle: A Comprehensive Introduction
Authors: Claudius Gros
DOI: https://doi.org/10.1007/978-3-031-55076-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-55075-1Published: 14 May 2024
Softcover ISBN: 978-3-031-55078-2Due: 14 June 2024
eBook ISBN: 978-3-031-55076-8Published: 13 May 2024
Edition Number: 5
Number of Pages: XV, 461
Number of Illustrations: 22 b/w illustrations, 145 illustrations in colour
Topics: Complex Systems, Complexity, Graph Theory, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Mathematical Models of Cognitive Processes and Neural Networks