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Titlebook: Complex and Adaptive Dynamical Systems; A Primer Claudius Gros Textbook 20154th edition Springer International Publishing Switzerland 2015

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书目名称Complex and Adaptive Dynamical Systems
副标题A Primer
编辑Claudius Gros
视频video
概述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 formati
图书封面Titlebook: Complex and Adaptive Dynamical Systems; A Primer Claudius Gros Textbook 20154th edition Springer International Publishing Switzerland 2015
描述.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
出版日期Textbook 20154th edition
关键词Complex Systems Textbook; Complexity Measures and Information Theory; Emergent Phenomena; Graph Topolog
版次4
doihttps://doi.org/10.1007/978-3-319-16265-2
isbn_softcover978-3-319-16264-5
isbn_ebook978-3-319-16265-2
copyrightSpringer International Publishing Switzerland 2015
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Self Organization and Pattern Formation,action diffusion systems, like the Fisher equation, constitute in this context classical examples for the notion of self organization. A core concept for understanding the occurrence of non-trival spatio-temporal patterns is the Turing instability, which will be discussed together with the notion of
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Complexity and Information Theory,r offers an account of several common measures of complexity and the relation of complexity to predictability and emergence. The chapter starts with a self- contained introduction to information theory and statistics. We will learn about probability distribution functions, the law of large numbers a
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Cellular Automata and Self-Organized Criticality,d another, systems behave in a very special fashion; they are said to be “critical”. Criticality is reached normally when tuning an external parameter, such as the temperature for physical phase transitions. The central question discussed in this chapter is whether “self-organized criticality” is po
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Darwinian Evolution, Hypercycles and Game Theory, that adaptation does not happen automatically and discuss the concept of “error catastrophe” as a possible root for the downfall of a species. Venturing into the mysteries surrounding the origin of life, we will investigate the possible advent of a “quasispecies” in terms of mutually supporting hyp
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Elements of Cognitive Systems Theory,out this book we have considered and developed general guiding principles for the understanding of complex networks and their dynamical properties; principles and concepts transcending the details of specific layouts realized in real world complex systems. We follow the same approach here, consideri
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