An Introduction to Sequential Dynamical Systems by Henning MortveitAn Introduction to Sequential Dynamical Systems by Henning Mortveit

An Introduction to Sequential Dynamical Systems

byHenning Mortveit, Christian Reidys

Paperback | October 31, 2007

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This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.

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Title:An Introduction to Sequential Dynamical SystemsFormat:PaperbackDimensions:260 pages, 9.25 × 6.1 × 0 inPublished:October 31, 2007Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387306544

ISBN - 13:9780387306544

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Table of Contents

Preface.- 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.- References.- Index.

Editorial Reviews

From the reviews:"By a sequential dynamical system (SDS), Mortveit (Virginia Polytechnic Institute and State Univ.) and Reidys (Nankai Univ., China) mean a certain type of mathematical model. . Summing Up: Recommended. Upper-division undergraduate through professional collections." (D. V. Feldman, CHOICE, Vol. 45 (10), June, 2008)"A comprehensive introduction to sequential dynamical systems (SDS), i.e. a class of dynamical systems defined over graphs where the dynamics arise through functional composition of local dynamics. . The book will be useful to graduate students and researches in discrete mathematics, dynamical systems, theoretical computer science, and systems engineering . ." (Georgy Osipenko, Zentralblatt MATH, Vol. 1135 (13), 2008)