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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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