0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science

Buy Now

Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume V) (Hardcover) Loot Price: R4,205
Discovery Miles 42 050
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume V) (Hardcover): Leon O. Chua

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

Leon O. Chua

Series: World Scientific Series on Nonlinear Science Series A, 80

 (sign in to rate)
Loot Price R4,205 Discovery Miles 42 050 | Repayment Terms: R394 pm x 12*

Bookmark and Share

Expected to ship within 12 - 17 working days

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.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Series: World Scientific Series on Nonlinear Science Series A, 80
Release date: March 2012
First published: March 2012
Authors: Leon O. Chua
Dimensions: 279 x 218 x 20mm (L x W x T)
Format: Hardcover
Pages: 352
ISBN-13: 978-981-4390-51-4
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
Promotions
LSN: 981-4390-51-8
Barcode: 9789814390514

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Best Books gegradeerde leesreeks: Vlak 1…
Best Books Paperback R90 R85 Discovery Miles 850
Recent Trends In Chaotic, Nonlinear And…
Jan Awrejcewicz, Rajasekar Shanmuganathan, … Hardcover R4,314 Discovery Miles 43 140
Elegant Simulations: From Simple…
Julien Clinton Sprott, William Graham Hoover, … Hardcover R3,077 Discovery Miles 30 770
Nonlinear Time Series Analysis with R
Ray Huffaker, Marco Bittelli, … Hardcover R2,850 Discovery Miles 28 500
Advances in Topology and Their…
Santanu Acharjee Hardcover R3,735 Discovery Miles 37 350
General Relativistic and Post-Newtonian…
Joseph O'Leary Hardcover R4,389 Discovery Miles 43 890
Modelling, Analysis, and Control of…
Ziyang Meng, Tao Yang, … Hardcover R3,078 Discovery Miles 30 780
Model Reduction of Complex Dynamical…
Peter Benner, Tobias Breiten, … Hardcover R3,764 Discovery Miles 37 640
Advances in Non-Archimedean Analysis and…
W. A. Zuniga-Galindo, Bourama Toni Hardcover R3,407 Discovery Miles 34 070
Zero Index Metamaterials - Trends and…
Nishant Shankhwar, Ravindra Kumar Sinha Hardcover R3,365 Discovery Miles 33 650
Fault-tolerant Control and Diagnosis for…
Rafael Martinez-Guerra, Fidel Melendez-Vazquez, … Hardcover R2,881 Discovery Miles 28 810
Harmonic Analysis and Applications
Michael Th Rassias Hardcover R3,757 Discovery Miles 37 570

See more

Partners