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

Description: Chaos, Dynamics, and Fractals by Joseph L. McCauley The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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, devils 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 Turings 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. Table of Contents Foreword; Introduction; 1. Flows in phase space; 2. Introduction to deterministic chaos; 3. Conservative synamical systems; 4. Fractals and fragmentation in phase space; 5. The way to chaos by instability of quasiperiodic orbits; 6. The way to chaos by period doubling; 7. Multifractals; 8. Statistical physics on chaotic symbol sequences; 9. Universal chaotic dynamics; 10. Intermittence in fluid dynamics; 11. From flows to automata: chaotic systems as completely deterministic machines; References; Index. Review a very readable account ... an excellent introduction to fractals and deterministic chaos ... Chemistry in Britain very well written Journal of the Association of C and C++ Users Promotional The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics. Promotional "Headline" The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics. Description for Bookstore The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics. Description for Library The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics. Details ISBN0521467470 Author Joseph L. McCauley Publisher Cambridge University Press Language English ISBN-10 0521467470 ISBN-13 9780521467476 Media Book Format Paperback Year 1994 Series Cambridge Nonlinear Science Series Imprint Cambridge University Press Subtitle An Algorithmic Approach to Deterministic Chaos Place of Publication Cambridge Country of Publication United Kingdom Pages 348 Series Number 2 Short Title CHAOS DYNAMICS & FRACTALS REV/ Edition Description Revised Affiliation University of Houston Illustrations 1 Halftones, unspecified; 76 Line drawings, unspecified DOI 10.1604/9780521467476 UK Release Date 1994-05-26 AU Release Date 1994-05-26 NZ Release Date 1994-05-26 Publication Date 1994-05-26 Alternative 9780511564154 DEWEY 515.352 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:91372373;

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