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Titlebook: Complex and Adaptive Dynamical Systems; A Comprehensive Intr Claudius Gros Textbook 2024Latest edition The Editor(s) (if applicable) and Th

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书目名称Complex and Adaptive Dynamical Systems
副标题A Comprehensive Intr
编辑Claudius Gros
视频videohttp://file.papertrans.cn/232/231605/231605.mp4
概述Suitable for the study of complex systems theory, teaching purposes, and as a reference.Fully revised 5th edition, now featuring a new chapter on machine learning.Expanded solutions available for all
图书封面Titlebook: Complex and Adaptive Dynamical Systems; A Comprehensive Intr Claudius Gros Textbook 2024Latest edition The Editor(s) (if applicable) and Th
描述.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
出版日期Textbook 2024Latest edition
关键词network theory; deterministic chaos; bifurcation theory vs; rate-induced tipping; self-organized critic
版次5
doihttps://doi.org/10.1007/978-3-031-55076-8
isbn_softcover978-3-031-55078-2
isbn_ebook978-3-031-55076-8
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Konstitutive Unternehmensentscheidungen,her with important examples from the realm of noise controlled dynamics, like diffusion, random walks and stochastic escape and resonance. We will discuss to which extent chaos, a regular guest of adaptive systems, may remain predictable.
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Network Theory,the most important notions of graph theory, like clustering and degree distributions, together with basic network realizations. Central concepts like percolation, the robustness of networks with regard to failure and attacks, and the “rich-get-richer” phenomenon in evolving social networks will be treated.
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Bifurcations and Chaos in Dynamical Systems,t of the chapter will be devoted to ordinary differential equations and maps, the traditional focus of dynamical systems theory, venturing however towards the end into the intricacies of time delay dynamical systems.
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Dissipation, Noise and Adaptive Systems,her with important examples from the realm of noise controlled dynamics, like diffusion, random walks and stochastic escape and resonance. We will discuss to which extent chaos, a regular guest of adaptive systems, may remain predictable.
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