Discrete systems with memory
 Responsibility
 Ramon AlonsoSanz
 Language
 English.
 Imprint
 Singapore ; Hackensack, N.J. : World Scientific, c2011.
 Physical description
 xi, 465 p. : ill. (some col.) ; 23 cm.
 Series
 World Scientific series on nonlinear science. Series A, Monographs and treatises v. 75.
Access
Available online
 site.ebrary.com ebrary
 ebooks.worldscinet.com World Scientific
Math & Statistics Library
Stacks
Call number  Status 

QA267.5 .C45 A464 2011  Unknown 
More options
Creators/Contributors
 Author/Creator
 AlonsoSanz, Ramon.
Contents/Summary
 Bibliography
 Includes bibliographic references (p. 429450) and index.
 Contents

 Cellular Automata and Memory Average Type Memory Other Memories Asynchrony and Probabilistic Rules Cycles and Random Sequences Three State Automata Reversible Dynamics Block Cellular Automata Structurally Dynamic Systems Boolean Networks Coupled Layers Continuous State Variable Spatial Games.
 (source: Nielsen Book Data)9789814343633 20160606
 Publisher's Summary
 Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the spacetime 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 statevalues, 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.
(source: Nielsen Book Data)9789814343633 20160606
Subjects
Bibliographic information
 Publication date
 2011
 Series
 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 75
 ISBN
 9814343633
 9789814343633