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Item Details
Title:
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NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE, A (VOLUME III)
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By: |
Leon O. Chua (Editor) |
Format: |
Hardback |
List price:
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£129.00 |
Our price: |
£116.10 |
Discount: |
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You save:
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£12.90 |
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ISBN 10: |
9812837930 |
ISBN 13: |
9789812837936 |
Availability: |
Reprinting. This item may be subject to delays or cancellation.
Delivery
rates
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Stock: |
Currently 0 available |
Publisher: |
WORLD SCIENTIFIC PUBLISHING CO PTE LTD |
Pub. date: |
1 June, 2009 |
Series: |
World Scientific Series on Nonlinear Science Series A 68 |
Pages: |
360 |
Description: |
Using illuminating color graphics, this volume exposes the global dynamical behaviors of the 50 (out of 256) local rules via their revealing basin tree diagrams. |
Synopsis: |
Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli ? ? -shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the "Isle of Eden" found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered. |
Publication: |
Singapore |
Imprint: |
World Scientific Publishing Co Pte Ltd |
Returns: |
Returnable |
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