Mathematical examples of space-time phases
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 0218-1274Full text not available from this repository.
Official URL: http://dx.doi.org/10.1142/S0218127411029793
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.|
|Page Range:||pp. 2297-2304|
|Access rights to Published version:||Restricted or Subscription Access|
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