03857nam a22006015i 4500 978-3-031-55076-8 DE-He213 20251030112040.0 cr nn 008mamaa 240513s2024 sz | s |||| 0|eng d 9783031550768 978-3-031-55076-8 10.1007/978-3-031-55076-8 doi Q295 GPFC bicssc SCI064000 bisacsh GPFC thema Gros, Claudius. author. aut http://id.loc.gov/vocabulary/relators/aut 76769 Complex and Adaptive Dynamical Systems [electronic resource] : A Comprehensive Introduction / by Claudius Gros. 5th ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XV, 461 p. 167 illus., 145 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. 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. System theory. 66519 Dynamics. 65524 Nonlinear theories. 65525 Graph theory. Dynamical systems. Neural networks (Computer science) . 64231 Stochastic processes. 76770 Complex Systems. 66520 Applied Dynamical Systems. 65530 Graph Theory. Dynamical Systems. Mathematical Models of Cognitive Processes and Neural Networks. 65860 Stochastic Networks. 76771 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031550751 Printed edition: 9783031550775 Printed edition: 9783031550782 https://doi.org/10.1007/978-3-031-55076-8 ZDB-2-PHA ZDB-2-SXP 59827 59827