Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos: 2 (Cambridge Nonlinear Science Series, Series Number 2) - Image 1

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Cambridge University Press Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos: 2 (Cambridge Nonlinear Science Series, Series Number 2)

Name: Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos: 2 (Cambridge Nonlinear Science Series, Series Number 2)
Brand: Cambridge University Press

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This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.

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Brand: Cambridge University Press
Format: paperback
ASIN: 0521467470
Category: Books > Subjects > Computing & Internet > Programming > Graphics & Multimedia
Domain: Amazon UK
Release Date: 05 January 2010
Listed Since: 02 February 2007

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Cambridge University Press Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos: 2 (Cambridge Nonlinear Science Series, Series Number 2)

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