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Chaos, Dynamics, and Fractals : An Algorithmic Approach to Deterministic Chaos

By: Joseph L. McCauley (Author)

Ksh 8,820.00
Format :

Format(s): DRM EPUB

ISBN-13: 9781107384927

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: May 26th, 1994

Country of Publication: US

Language: English

Physical Edition EAN: 9780521467476

Category: Differential calculus & equations , Fractal geometry , Chaos theory

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  • Description

  • Author Bio

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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