An Introduction to Sequential Dynamical Systems / by Henning S. Mortveit, Christian M. Reidys
| データ種別 | 電子ブック |
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| 出版者 | Boston, MA : Springer US |
| 出版年 | 2008 |
| 本文言語 | 英語 |
| 大きさ | XII, 248 p. 73 illus : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 |
| 著者標目 | *Mortveit, Henning S. author Reidys, Christian M. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Computer simulation LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Dynamics LCSH:Ergodic theory LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Mathematics FREE:Analysis FREE:Dynamical Systems and Ergodic Theory FREE:Simulation and Modeling FREE:Applications of Mathematics FREE:Discrete Mathematics in Computer Science |
| 分 類 | DC23:515 |
| 巻冊次 | ISBN:9780387498799 
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| ISBN | 9780387498799 |
| URL | http://dx.doi.org/10.1007/978-0-387-49879-9 |
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