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Discrete systems with memory

Alonso-Sanz, Ramon.

Discrete systems with memory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete systems with memoryRamon Alonso-Sanz.
Author:	Alonso-Sanz, Ramon.
Published:	Singapore ;World Scientific Pub. Co.,c2011.
Description:	xi, 465 p. :ill. (some col.)
Subject:	Cellular automataMathematical models.
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/8119#t=toc
ISBN:	9789814343640 (electronic bk.)

Discrete systems with memory
Alonso-Sanz, Ramon.

Discrete systems with memory[electronic resource] /Ramon Alonso-Sanz. - Singapore ;World Scientific Pub. Co.,c2011. - xi, 465 p. :ill. (some col.) - World Scientific series on nonlinear science.. - World Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 45..

Includes bibliographical references (p. 429-450) and index.

Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian : only the actual configuration is taken into account to generate the next one. Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced. The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2011.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814343640 (electronic bk.)Subjects--Topical Terms:

274078
Cellular automata
--Mathematical models.

LC Class. No.: QA267.5.C45

Dewey Class. No.: 511.3

Discrete systems with memory
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260 $a Singapore ; $a Hackensack, N.J. : $b World Scientific Pub. Co., $c c2011.
300 $a xi, 465 p. : $b ill. (some col.)
490 1 $a World Scientific series on nonlinear science.
504 $a Includes bibliographical references (p. 429-450) and index.
520 $a Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian : only the actual configuration is taken into account to generate the next one. Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced. The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.
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650 0 $a Cellular automata $x Mathematical models. $3 274078
650 0 $a Discrete-time systems $x Mathematical models. $3 359884
650 0 $a Dynamics. $3 189568
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