Claudius Gros

Complex and Adaptive Dynamical Systems

A Comprehensive Introduction

• Gebundenes Buch

Produktbeschreibung

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 ofthe 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.

Produktdetails

• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-031-55075-1
• 5. Aufl.
• Seitenzahl: 480
• Erscheinungstermin: 14. Mai 2024
• Englisch
• Abmessung: 241mm x 160mm x 32mm
• Gewicht: 824g
• ISBN-13: 9783031550751
• ISBN-10: 3031550757
• Artikelnr.: 69847526

Autorenporträt

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.

Inhaltsangabe

Network Theory.- Bifurcations and Chaos in Dynamical Systems.- Dissipation, Noise and Adaptive Systems.- Self Organization.- Information Theory of Complex Systems.- Self-Organized Criticality.- Random Boolean Networks.- Darwinian Evolution, Hypercycles and Game Theory.- Synchronization Phenomena.- Complexity of Machine Learning.- Solutions.

Rezensionen

"The author combines in the book theoretical elements with their applications, realizing an interesting work with potential practical applications in the domain of complex and adaptive dynamical systems. The book can be read without advanced knowledge in the domain and can be useful to researchers dealing with complex and adaptive dynamical systems." (Gheorghe Tigan, zbMATH 1317.93001, 2015)