A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
Author :
Publisher : World Scientific Publishing Company
Total Pages : 0
Release :
ISBN-10 : 9814390518
ISBN-13 : 9789814390514
Rating : 4/5 (514 Downloads)

Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O. Chua

Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific Publishing Company. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts.This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence.Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss.Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules.But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine.


A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science Related Books

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
Language: en
Pages: 0
Authors: Leon O. Chua
Categories: Cellular automata
Type: BOOK - Published: 2006 - Publisher: World Scientific Publishing Company

DOWNLOAD EBOOK

When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts.Th
A New Kind of Science
Language: en
Pages: 1197
Authors: Stephen Wolfram
Categories: Cellular automata
Type: BOOK - Published: 2002 - Publisher:

DOWNLOAD EBOOK

This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the boo
A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
Language: en
Pages: 579
Authors: Leon O. Chua
Categories: Computers
Type: BOOK - Published: 2013 - Publisher: World Scientific

DOWNLOAD EBOOK

This text uncovers secret recipes from the abstract theory of one-dimensional cellular automata for predicting the long-term evolution of a ring of identical el
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

DOWNLOAD 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 Workbook, The: Chaos, Fractals, Cellular Automata, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (5th Edition)
Language: en
Pages: 642
Authors: Willi-hans Steeb
Categories: Science
Type: BOOK - Published: 2011-03-16 - Publisher: World Scientific Publishing Company

DOWNLOAD EBOOK

The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. T