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Statistical dependency in chaos
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Lawrance, Anthony J. and Balakrishna, N. (2008) Statistical dependency in chaos. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Volume 18 (Number 11). pp. 32073219. ISSN 02181274
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Official URL: http://dx.doi.org/10.1142/S0218127408022366
Abstract
This paper is concerned with the statistical dependency effects in chaotic map processes, both before and after their discretization at branch boundaries. The resulting processes are no longer chaotic but are left with realizable statistical behavior. Such processes have appeared over several years in the electronic engineering literature. Informal but extended mathematical theory that facilitates the practical calculation of autocorrelation of such statistical behavior, is developed. Both the continuous and discretized cases are treated further by using Kohda's notions of equidistribution and constantsum to maps which are not onto. Some particularly structured chaotic map processes, and also wellknown maps are examined for their statistical dependency, with the tailed shift map family from chaotic communications receiving detailed attention. Several parts of the paper form a brief review of existing theory.
Item Type:  Journal Item  

Subjects:  Q Science > QA Mathematics Q Science 

Divisions:  Faculty of Science > Statistics  
Library of Congress Subject Headings (LCSH):  Chaotic behavior in systems  Mathematics, Mappings (Mathematics)  
Journal or Publication Title:  International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
Publisher:  World Scientific Publishing Co. Pte. Ltd.  
ISSN:  02181274  
Official Date:  November 2008  
Dates: 


Volume:  Volume 18  
Number:  Number 11  
Number of Pages:  13  
Page Range:  pp. 32073219  
Identification Number:  10.1142/S0218127408022366  
Status:  Peer Reviewed  
Publication Status:  Published  
Access rights to Published version:  Restricted or Subscription Access  
References:  Abel, A. & Schwarz [2002] “Chaos communications — 

URI:  http://wrap.warwick.ac.uk/id/eprint/28683 
Data sourced from Thomson Reuters' Web of Knowledge
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