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Titlebook: An Introduction to Sequential Dynamical Systems; Henning S. Mortveit,Christian M. Reidys Textbook 2008 Springer-Verlag US 2008 analysis.au

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期刊全称An Introduction to Sequential Dynamical Systems
影响因子2023Henning S. Mortveit,Christian M. Reidys
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发行地址First graduate textbook on Sequential Dynamical Systems.Details seminal SDS research toward a general theory of discrete computer simulations, with applications developed in government labs.Versatile
学科分类Universitext
图书封面Titlebook: An Introduction to Sequential Dynamical Systems;  Henning S. Mortveit,Christian M. Reidys Textbook 2008 Springer-Verlag US 2008 analysis.au
影响因子.Sequential Dynamical Systems (SDS) are a class of discrete dynamical systems which significantly generalize many aspects of systems such as cellular automata, and provide a framework for studying dynamical processes over graphs....This text is the first to provide a comprehensive introduction to SDS. Driven by numerous examples and thought-provoking problems, the presentation offers good foundational material on finite discrete dynamical systems which leads systematically to an introduction of SDS. Techniques from combinatorics, algebra and graph theory are used to study a broad range of topics, including reversibility, the structure of fixed points and periodic orbits, equivalence, morphisms and reduction. Unlike other books that concentrate on determining the structure of various networks, this book investigates the dynamics over these networks by focusing on how the underlying graph structure influences the properties of the associated dynamical system....This book is aimed at graduate students and researchers in discrete mathematics, dynamical systems theory, theoretical computer science, and systems engineering who are interested in analysis and modeling of network dynamics a
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Graphs, Groups, and Dynamical Systems,r of the book. A basic knowledge of group theory is assumed — a guide to introductory as well as more advanced references on the topics is given at the end of the chapter. We conclude this chapter by providing a short overview of the “classical” continuous and discrete dynamical systems. This overvi
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Sequential Dynamical Systems over Permutations, the vertex set of the underlying graph. In Chapter 7 we will extend our analysis to update orders that are words over the vertex set, that is, systems where vertices can be updated multiple times within a system update. Since most graphs in this chapter are combinatorial graphs (Section 3.1.1), we
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Phase-Space Structure of SDS and Special Systems,ential dynamical systems and cellular automata over a subclass of the . [83]. We then proceed to analyze SDS over special graph classes such as the complete graph, the line graph, and the circle graphs. We will also see that the periodic points of SDS induced by (nor.). and (nor. + nand.). do not de
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Henning S. Mortveit,Christian M. ReidysFirst graduate textbook on Sequential Dynamical Systems.Details seminal SDS research toward a general theory of discrete computer simulations, with applications developed in government labs.Versatile
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978-0-387-30654-4Springer-Verlag US 2008
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