Complex and Adaptive Dynamical Systems (Hardcover)

Claudius Gros

ISBN 10: 3031550757 / ISBN 13: 9783031550751

Published by Springer International Publishing AG, Cham, 2024

About this Item

Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783031550751

Bibliographic Details

• Title: Complex and Adaptive Dynamical Systems (Hardcover)
• Publisher: Springer International Publishing AG, Cham
• Publication Date: 2024
• Language: English
• ISBN 10: 3031550757
• ISBN 13: 9783031550751
• Binding: Hardcover
• Edition: 5th or later Edition
• Condition: new

About this title

Synopsis

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.

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.