Overview

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.

Full Product Details

Author:   Ramon Alonso-sanz (Etsi Agronomos, Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   75
Dimensions:   Width: 15.70cm , Height: 2.30cm , Length: 23.10cm
Weight:   0.816kg
ISBN:  

9789814343633

ISBN 10:   9814343633
Pages:   480
Publication Date:   08 March 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of 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.

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