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Sensitive parameter dependence of autocorrelation function in piecewise linear maps
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Baranovski, Alexander L. and Lawrance, Anthony J. (2007) Sensitive parameter dependence of autocorrelation function in piecewise linear maps. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol.17 (No.4). pp. 1185-1197. doi:10.1142/S0218127407017768 ISSN 0218-1274.
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Abstract
This paper is principally concerned with the effect of splitting and permuting, or shifting, the branches of an onto piecewise linear map, with particular regard to the effect on the autocorrelation of the associated chaotic sequence. This is shown to be a chaotic function of the shifting parameter of the map, and its sensitivity with respect to minute changes in this parameter is termed autocorrelation chaos. This paper presents both analytical and computational studies of the phenomenon.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
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: | April 2007 | ||||
Dates: |
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Volume: | Vol.17 | ||||
Number: | No.4 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 1185-1197 | ||||
DOI: | 10.1142/S0218127407017768 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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