Complex and Adaptive Dynamical Systems
Autor Claudius Grosen Limba Engleză Paperback – 15 mai 2025
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Specificații
ISBN-13: 9783031550782
ISBN-10: 3031550781
Pagini: 480
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.72 kg
Ediția:Fifth Edition 2024
Editura: Springer
ISBN-10: 3031550781
Pagini: 480
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.72 kg
Ediția:Fifth Edition 2024
Editura: Springer
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Cuprins
Graph Theory and Small-World Networks.- Bifurcations and Chaos in Dynamical Systems.- Dissipation, Noise and Adaptive Systems.- Self-Organization and Pattern Formation.- Complexity and Information Theory.- Cellular Automata and Self-Organized Criticality.- Random Boolean Networks.- Darwinian Evolution, Hypercycles and Game Theory.- Synchronization Phenomena.- Elements of Cognitive System Theory.- Solutions.- Index.
Recenzii
“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)
Notă biografică
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.
Textul de pe ultima copertă
This primer offers readers an introduction to the central concepts that form our modern understanding of complex and emergent behavior, together with detailed coverage of accompanying mathematical methods. All calculations are presented step by step and are easy to follow.
This new fourth edition has been fully reorganized and includes new chapters, figures and exercises. The core aspects of modern complex system sciences are presented in the first chapters, covering network theory, dynamical systems, bifurcation and catastrophe theory, chaos and adaptive processes, together with the principle of self-organization in reaction-diffusion systems and social animals. Modern information theoretical principles are treated in further chapters, together with the concept of self-organized criticality, gene regulation networks, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain.
Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter includes exercises and suggestions for further reading, and the solutions to all exercises are provided in the last chapter.
From the reviews of previous editions:
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 teac
hing and self-education. Very well structured and every topic is illustrated with simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008) Claudius Gros’ 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. (David P. Feldman, Physics Today, July, 2009)
This new fourth edition has been fully reorganized and includes new chapters, figures and exercises. The core aspects of modern complex system sciences are presented in the first chapters, covering network theory, dynamical systems, bifurcation and catastrophe theory, chaos and adaptive processes, together with the principle of self-organization in reaction-diffusion systems and social animals. Modern information theoretical principles are treated in further chapters, together with the concept of self-organized criticality, gene regulation networks, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain.
Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter includes exercises and suggestions for further reading, and the solutions to all exercises are provided in the last chapter.
From the reviews of previous editions:
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 teac
hing and self-education. Very well structured and every topic is illustrated with simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008) Claudius Gros’ 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. (David P. Feldman, Physics Today, July, 2009)
Caracteristici
Uniquely combines network theory and dynamical systems approaches Contains end-of-chapter exercices and solutions 4e significantly expanded, with a new chapter on self-organization and pattern formation as well as further new material and exercices Includes supplementary material: sn.pub/extras