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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos (Cambridge Nonlinear Science Series, Series Number 2) - Hardcover
Synopsis
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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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
Book Description
The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1993
- ISBN 10 0521416582
- ISBN 13 9780521416580
- BindingHardcover
- LanguageEnglish
- Number of pages345
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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos (Cambridge Nonlinear Science Series)
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Cambridge University Press, 1993
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ISBN 13: 9780521416580
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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos (Cambridge Nonlinear Science Series, Series Number 2)
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ISBN 10: 0521416582
ISBN 13: 9780521416580
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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos (Cambridge Nonlinear Science Series, Series Number 2)
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Chaos, dynamics and fractals. An algorithmic approach to deterministic chaos. (Cambridge Nonlinear Science Series 2)
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Chaos, Dynamics, and Fractals. An Algorithmic Approach to Deterministic Chaos
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Chaos, Dynamics, and Fractals. An Algorithmic Approach to Deterministic Chaos
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ISBN 10: 0521416582
ISBN 13: 9780521416580
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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos (Cambridge Nonlinear Science Series, Series Number 2)
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ISBN 10: 0521416582
ISBN 13: 9780521416580
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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos (Cambridge Nonlinear Science Series, Series Number 2)
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ISBN 10: 0521416582
ISBN 13: 9780521416580
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Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos
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ISBN 10: 0521416582
ISBN 13: 9780521416580
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