Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv)

Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv)
Author :
Publisher : World Scientific
Total Pages : 404
Release :
ISBN-10 : 9789814464437
ISBN-13 : 9814464430
Rating : 4/5 (430 Downloads)

Book Synopsis Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv) by : Leon O Chua

Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv) written by Leon O Chua and published by World Scientific. This book was released on 2011-04-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. This discovery is embellished with analytical formulas characterizing the fractal properties of characteristic functions, as well as explicit formulas for generating colorful and pedagogically revealing isomorphic basin tree diagrams. Many new results were derived and proved by uncovering subtle symmetries endowed by various subsets of the 256 Boolean cubes. For the first time, rigorous analyses were used to identify 67, out off 256, local rules whose asymptotic behaviors consist of robust period-l orbits. The highlight of this continuing odyssey is the discovery of an isolated period-3240 Isle of Eden hidden among the dense omega-limit orbits of Wolfram's remarkable “random number generating” rule 30. This is the largest gem known to-date and readers are challenged to uncover even larger ones.


Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv) Related Books

Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv)
Language: en
Pages: 404
Authors: Leon O Chua
Categories: Science
Type: BOOK - Published: 2011-04-06 - Publisher: World Scientific

GET EBOOK

Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon invo
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Vi)
Language: en
Pages: 579
Authors: Leon O Chua
Categories: Mathematics
Type: BOOK - Published: 2013-07-10 - Publisher: World Scientific

GET EBOOK

This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the bin
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume V)
Language: en
Pages: 349
Authors: Leon O Chua
Categories: Mathematics
Type: BOOK - Published: 2012-03-13 - Publisher: World Scientific

GET EBOOK

This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocki
A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
Language: en
Pages: 349
Authors: Leon O. Chua
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: World Scientific

GET EBOOK

This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocki
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A - Volume Iii
Language: en
Pages: 357
Authors: Leon O Chua
Categories: Computers
Type: BOOK - Published: 2009-08-11 - Publisher: World Scientific

GET EBOOK

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 dy