Henning Mortveit, Christian Reidys

An Introduction to Sequential Dynamical Systems (eBook, PDF)

• Format: PDF

Produktbeschreibung

This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. SDSs are a class of discrete dynamical systems which are a significant generalization of cellular automata and provide a new general theory of discrete computer simulations. 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.

Starting from a broad range of topics on structure theory, 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 relevant to applied mathematicians and computer scientists alike.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 248
• Erscheinungstermin: 27. November 2007
• Englisch
• ISBN-13: 9780387498799
• Artikelnr.: 43728847

Autorenporträt

Henning S. Mortveit, Los Alamos Labs., Santa Fé, NM, USA / Christian M. Reidys, Los Alamos Labs., Santa Fé, NM, USA

Inhaltsangabe

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.

Rezensionen

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)