Complex and Adaptive Dynamical Systems A Comprehensive Introduction /

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...

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1. autor: Gros, Claudius (Autor)
Korporacja: SpringerLink (Online service)
Format: Elektroniczne E-book
Język:angielski
Wydane: Cham : Springer International Publishing : Imprint: Springer, 2024.
Wydanie:5th ed. 2024.
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Dostęp online:https://doi.org/10.1007/978-3-031-55076-8
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505 0 |a 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. 
520 |a 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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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650 0 |a System theory. 
650 0 |a Dynamics. 
650 0 |a Nonlinear theories. 
650 0 |a Graph theory. 
650 0 |a Dynamical systems. 
650 0 |a Neural networks (Computer science) . 
650 0 |a Stochastic processes. 
650 1 4 |a Complex Systems. 
650 2 4 |a Applied Dynamical Systems. 
650 2 4 |a Graph Theory. 
650 2 4 |a Dynamical Systems. 
650 2 4 |a Mathematical Models of Cognitive Processes and Neural Networks. 
650 2 4 |a Stochastic Networks. 
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