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＜電子ブック＞
An Introduction to Sequential Dynamical Systems / by Henning Mortveit, Christian Reidys
(Universitext. ISSN:21916675)

版	1st ed. 2008.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XII, 248 p. 73 illus : online resource
著者標目	*Mortveit, Henning author Reidys, Christian author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Dynamical systems LCSH:Computer simulation LCSH:Mathematics LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Discrete mathematics FREE:Analysis FREE:Dynamical Systems FREE:Computer Modelling FREE:Applications of Mathematics FREE:Discrete Mathematics in Computer Science
一般注記	What is a Sequential Dynamical System? -- A Comparative Study -- Graphs, Groups, and Dynamical Systems -- Sequential Dynamical Systems over Permutations -- Phase-Space Structure of SDS and Special Systems -- Graphs, Groups, and SDS -- Combinatorics of Sequential Dynamical Systems over Words -- Outlook 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 as well as their computer simulations. Prerequisites include knowledge of calculus and basic discrete mathematics. Some computer experience and familiarity with elementary differential equations and dynamical systems are helpful but not necessary HTTP:URL=https://doi.org/10.1007/978-0-387-49879-9

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