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Mathematical examples of space-time phases

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Diakonova, M. and MacKay, R. S.. (2011) Mathematical examples of space-time phases. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol.21 (No.8). pp. 2297-2304. ISSN 0218-1274

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Official URL: http://dx.doi.org/10.1142/S0218127411029793

Abstract

The space-time phases of a complex dynamic system are the probability distributions for state as a function of space and time which arise by evolving initial probability distributions from the distant past. Toom proved important results about space-time phases for a class of majority voter probabilistic cellular automata (PCA). Here, variants of the majority voter PCA are presented which are proved to exhibit a variety of types of space-time phase. These examples are expected to serve as useful steps on the way to a general theory of space-time phases.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Faculty of Science > Physics
Journal or Publication Title: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Publisher: World Scientific Publishing Co. Pte. Ltd.
ISSN: 0218-1274
Date: 2011
Volume: Vol.21
Number: No.8
Page Range: pp. 2297-2304
Identification Number: 10.1142/S0218127411029793
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/39578

Data sourced from Thomson Reuters' Web of Knowledge

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