By Henning Mortveit,Christian Reidys

Sequential Dynamical structures (SDS) are a category of discrete dynamical platforms which considerably generalize many points of structures reminiscent of mobile automata, and supply a framework for learning dynamical strategies over graphs. this article is the 1st to supply a complete advent to SDS. pushed via various examples and thought-provoking difficulties, the presentation deals stable foundational fabric on finite discrete dynamical platforms which leads systematically to an advent of SDS. ideas from combinatorics, algebra and graph idea are used to check a extensive variety of subject matters, together with reversibility, the constitution of mounted issues and periodic orbits, equivalence, morphisms and aid. in contrast to different books that focus on selecting the constitution of assorted networks, this booklet investigates the dynamics over those networks by means of targeting how the underlying graph constitution affects the houses of the linked dynamical method. This booklet is geared toward graduate scholars and researchers in discrete arithmetic, dynamical platforms idea, theoretical laptop technological know-how, and structures engineering who're drawn to research and modeling of community dynamics in addition to their machine simulations. necessities contain wisdom of calculus and easy discrete arithmetic. a few machine adventure and familiarity with straightforward differential equations and dynamical platforms are necessary yet now not necessary.

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

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