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A nonlinear dynamics perspective of Wolfram's new kind of science. Volume I

Author: Leon O Chua; World Scientific (Firm)
Publisher: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2006.
Series: World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 57.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Leon O Chua; World Scientific (Firm)
ISBN: 9789812772138 9812772138
OCLC Number: 747539674
Description: 1 online resource (xxvii, 367 pages) : illustrations (some color).
Contents: Ch. 1. Threshold of complexity. 1. Introduction. 2. Cellular automata is a special case of CNN. 3. Every local rule is a cube with eight colored vertices. 4. Every local rule is a code for attractors of a dynamical system. 5. Every local rule has a unique complexity index --
ch. 2. Universal neuron. 1. Firing and quenching patterns. 2. A universal neuron. 3. Gallery of one-dimensional cellular automata. 4. Genealogic classification of local rules. 5. The double-helix torus. 6. Explaining and predicting pattern features --
ch. 3. Predicting the unpredictable. 1. Introduction. 2. Local versus global equivalence. 3. Predicting the unpredictable. 4. Predicting the predictable. 5. Concluding remarks.
Series Title: World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 57.
Responsibility: Leon O. Chua.

Abstract:

This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science."

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"This book is a colourful presentation with fresh ideas and attractive illustrations ... those studying non-linear sciences, electronic engineering, mathematics and logics, complexity and emergent Read more...

 
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