Titlebook: An Introduction to Sequential Dynamical Systems; Henning S. Mortveit,Christian M. Reidys Textbook 2008 Springer-Verlag US 2008 analysis.au

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Outlook, directions for future research in theory and applications of SDS. This is, of course, not an exhaustive list, and some of what follows is in an early stage. The material presented here reflects, however, what we currently consider interesting and important and what has already been identified as useful for many application areas.

Budget

Textbook 2008automata, 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

STRIA

0172-5939 s, with applications developed in government labs.Versatile .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 tex

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https://doi.org/10.1007/978-3-322-95465-7s where vertices can be updated multiple times within a system update. Since most graphs in this chapter are combinatorial graphs (Section 3.1.1), we will, by abuse of terminology, refer to combinatorial graphs simply as graphs unless ambiguity may arise.

liaison

https://doi.org/10.1007/978-3-322-95465-7mplete graph, the line graph, and the circle graphs. We will also see that the periodic points of SDS induced by (nor.). and (nor. + nand.). do not depend on the choice of update order. This fact is needed in Chapter 6, where we will study groups associated to a certain class of SDS.

ANTI

Graphs, Groups, and Dynamical Systems,e end of the chapter. We conclude this chapter by providing a short overview of the “classical” continuous and discrete dynamical systems. This overview is not required for what follows, but it may be helpful in order to put SDS theory into context.

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Phase-Space Structure of SDS and Special Systems,mplete graph, the line graph, and the circle graphs. We will also see that the periodic points of SDS induced by (nor.). and (nor. + nand.). do not depend on the choice of update order. This fact is needed in Chapter 6, where we will study groups associated to a certain class of SDS.

Parabola

https://doi.org/10.1007/978-3-322-97624-6s, and optimal scheduling on parallel computing architectures. Each of these areas is a large topic in itself, so we have necessarily taken a few shortcuts and made some simplifications. We have chosen to focus on the aspects of these systems that apply to SDS.