NONLNR DYN PERSPEC WOLFRAM (V3) (Volume III)
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NONLNR DYN PERSPEC WOLFRAM (V3) (Volume III)

SKU: 9789812837943

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Additional information

Full Title

NONLNR DYN PERSPEC WOLFRAM (V3) (Volume III)
Author(s)

Chua Leon O
Edition
ISBN

9789812837943, 9789812837936
Publisher

World Scientific
Format

PDF and EPUB

Description

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 στ-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.

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