Chaos, Dynamics, and Fractals

An Algorithmic Approach to Deterministic Chaos

By:

Joseph L. McCauley

Format:

Paperback / softback

Series:

Cambridge Nonlinear Science Series

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Description

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.

Release date NZ

May 26th, 1994

Author

Joseph L. McCauley

Audience

Professional & Vocational

Illustrations

1 Halftones, unspecified; 76 Line drawings, unspecified

Pages

348

Series

Cambridge Nonlinear Science Series

Dimensions

151x229x18

ISBN-13

9780521467476

Product ID

1770396

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