Download e-book for iPad: An Introduction to Sequential Dynamical Systems by Henning Mortveit,Christian Reidys

By Henning Mortveit,Christian Reidys

Sequential Dynamical platforms (SDS) are a category of discrete dynamical platforms which considerably generalize many points of platforms equivalent to mobile automata, and supply a framework for learning dynamical procedures over graphs. this article is the 1st to supply a entire creation to SDS. pushed by way of various examples and thought-provoking difficulties, the presentation bargains solid foundational fabric on finite discrete dynamical structures which leads systematically to an advent of SDS. innovations from combinatorics, algebra and graph conception are used to review a wide diversity of issues, together with reversibility, the constitution of fastened issues and periodic orbits, equivalence, morphisms and aid. in contrast to different books that target deciding on the constitution of assorted networks, this booklet investigates the dynamics over those networks by means of targeting how the underlying graph constitution impacts the houses of the linked dynamical procedure. This e-book is geared toward graduate scholars and researchers in discrete arithmetic, dynamical structures idea, theoretical desktop technological know-how, and platforms engineering who're drawn to research and modeling of community dynamics in addition to their machine simulations. must haves contain wisdom of calculus and uncomplicated discrete arithmetic. a few computing device adventure and familiarity with common differential equations and dynamical platforms are worthy yet no longer necessary.

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

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