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. 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
Subjects:	Q Science > QA Mathematics Q Science
Divisions:	Faculty of 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
Date:	April 2007
Volume:	Vol.17
Number:	No.4
Number of Pages:	13
Page Range:	pp. 1185-1197
Identification Number:	10.1142/S0218127407017768
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/31096

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