A Nonlinear Dynamics Perspective of Wolframs New Kind of Science - Vol. III: 68 (World Scientific Series on Nonlinear Science Series A)

Enjoying reading this book?

A Nonlinear Dynamics Perspective of Wolframs New Kind of Science - Vol. III: 68 (World Scientific Series on Nonlinear Science Series A)

by Chua

4.8

4.8 out of 5

Creators

Author Chua

Publisher World Scientific Publishing Company

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.

Enjoying reading this book?

Binding: Hardcover

About the author

Specifications

Language: English
Publisher: World Scientific Publishing Company
Pages: 360 pages
Binding: Hardcover

ISBN: 9789812837936
Category: Nonlinear Science, Chaos and Dynamical Systems
Related Category: Academics