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

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

By Henning Mortveit,Christian Reidys

ISBN-10: 0387306544

ISBN-13: 9780387306544

Sequential Dynamical platforms (SDS) are a category of discrete dynamical structures which considerably generalize many elements of structures reminiscent of 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 means of various examples and thought-provoking difficulties, the presentation deals sturdy foundational fabric on finite discrete dynamical structures which leads systematically to an creation of SDS. thoughts from combinatorics, algebra and graph thought are used to check a huge variety of issues, together with reversibility, the constitution of mounted issues and periodic orbits, equivalence, morphisms and aid. not like different books that focus on picking out the constitution of varied networks, this e-book investigates the dynamics over those networks by means of concentrating on how the underlying graph constitution impacts the homes of the linked dynamical process. This e-book is geared toward graduate scholars and researchers in discrete arithmetic, dynamical structures conception, theoretical desktop technology, and platforms engineering who're drawn to research and modeling of community dynamics in addition to their desktop simulations. must haves contain wisdom of calculus and simple discrete arithmetic. a few laptop event and familiarity with hassle-free differential equations and dynamical platforms 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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