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Mathematical examples of space-time phases
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Diakonova, M. and MacKay, Robert 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. doi:10.1142/S0218127411029793 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Physics |
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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 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.21 | ||||
Number: | No.8 | ||||
Page Range: | pp. 2297-2304 | ||||
DOI: | 10.1142/S0218127411029793 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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