Get An Introduction to Sequential Dynamical Systems 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 platforms resembling 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 way of various examples and thought-provoking difficulties, the presentation deals reliable foundational fabric on finite discrete dynamical structures which leads systematically to an creation of SDS. recommendations from combinatorics, algebra and graph idea are used to check a vast diversity of themes, together with reversibility, the constitution of mounted issues and periodic orbits, equivalence, morphisms and aid. in contrast to different books that target making a choice on the constitution of varied networks, this e-book investigates the dynamics over those networks by way of concentrating on how the underlying graph constitution impacts the houses of the linked dynamical procedure. This ebook is geared toward graduate scholars and researchers in discrete arithmetic, dynamical platforms idea, theoretical desktop technological know-how, and platforms engineering who're drawn to research and modeling of community dynamics in addition to their desktop simulations. must haves comprise wisdom of calculus and easy discrete arithmetic. a few machine adventure and familiarity with ordinary 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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