An Introduction to Sequential Dynamical Systems

Paperback | October 31, 2007

byHenning Mortveit, Christian Reidys

not yet rated|write a review
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.

Pricing and Purchase Info

$77.94 online
$77.95 list price
In stock online
Ships free on orders over $25

From the Publisher

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 the Jacket

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 though...

Format:PaperbackDimensions:260 pages, 9.25 × 6.1 × 0.04 inPublished:October 31, 2007Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387306544

ISBN - 13:9780387306544

Look for similar items by category:

Customer Reviews of An Introduction to Sequential Dynamical Systems

Reviews

Extra Content

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)