An Introduction to Sequential Dynamical Systems by Henning Mortveit,Christian Reidys PDF

By Henning Mortveit,Christian Reidys

ISBN-10: 0387306544

ISBN-13: 9780387306544

Sequential Dynamical structures (SDS) are a category of discrete dynamical platforms which considerably generalize many elements of structures similar to mobile automata, and supply a framework for learning dynamical approaches over graphs. this article is the 1st to supply a finished creation to SDS. pushed by means of various examples and thought-provoking difficulties, the presentation bargains stable foundational fabric on finite discrete dynamical platforms which leads systematically to an creation of SDS. innovations from combinatorics, algebra and graph concept are used to check a large variety of issues, together with reversibility, the constitution of mounted issues and periodic orbits, equivalence, morphisms and relief. not like different books that focus on deciding upon the constitution of assorted networks, this ebook investigates the dynamics over those networks by way of targeting how the underlying graph constitution impacts the houses of the linked dynamical method. This booklet is geared toward graduate scholars and researchers in discrete arithmetic, dynamical structures idea, theoretical computing device technology, and structures engineering who're attracted to research and modeling of community dynamics in addition to their laptop simulations. must haves comprise wisdom of calculus and uncomplicated discrete arithmetic. a few computing device adventure and familiarity with simple differential equations and dynamical structures are important yet now not necessary.

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An Introduction to Sequential Dynamical Systems (Universitext) by Henning Mortveit,Christian Reidys

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