A Comprehensive Introduction Gros, Claudius. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 5th ed. 2024. monographic eng

electronic

electronic resource

access XV, 461 p. 167 illus., 145 illus. in color. online resource. 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. 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. by Claudius Gros. System theory Dynamics Nonlinear theories Graph theory Dynamical systems Neural networks (Computer science)  Stochastic processes Complex Systems Applied Dynamical Systems Graph Theory Dynamical Systems Mathematical Models of Cognitive Processes and Neural Networks Stochastic Networks Q295 9783031550768 https://doi.org/10.1007/978-3-031-55076-8 https://doi.org/10.1007/978-3-031-55076-8 240513 20251030112040.0 978-3-031-55076-8