An Introduction to Sequential Dynamical Systems - download pdf or read online

By Henning Mortveit,Christian Reidys

ISBN-10: 0387306544

ISBN-13: 9780387306544

Sequential Dynamical structures (SDS) are a category of discrete dynamical structures which considerably generalize many points of platforms resembling mobile automata, and supply a framework for learning dynamical procedures over graphs. this article is the 1st to supply a complete creation to SDS. pushed by means 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. options from combinatorics, algebra and graph thought are used to review a wide diversity of themes, 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 ebook investigates the dynamics over those networks by means of concentrating on how the underlying graph constitution affects the houses of the linked dynamical method. This ebook is geared toward graduate scholars and researchers in discrete arithmetic, dynamical platforms concept, theoretical computing device technology, and structures engineering who're drawn to research and modeling of community dynamics in addition to their computing device simulations. necessities comprise wisdom of calculus and uncomplicated discrete arithmetic. a few desktop event and familiarity with ordinary differential equations and dynamical structures are invaluable yet no longer necessary.

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

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