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A note on one-dimensional chaotic maps under time reversal

Part of: Stochastic processes Nonlinear dynamics

Published online by Cambridge University Press:  01 July 2016

H. Tong  and
B. Cheng
H. Tong*
Affiliation:
University of Kent
B. Cheng*
Affiliation:
Chinese Academy of Sciences
*
∗Postal address: Institute of Mathematics and Statistics, University of Kent, Canterbury, Kent CT2 7NF, UK.
∗∗Postal address: Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China.
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Abstract

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We have furnished further examples on the connection between some standard one-dimensional chaotic deterministic models and stochastic time series models via time reversal.

Keywords

BILINEAR MODELCHAOSGENERALIZED BAKER'S TRANSFORMATIONLOGISTIC MAPTENT MAP

MSC classification

Primary: 60G10: Stationary processes
Secondary: 70K99: None of the above, but in this section
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 24 , Issue 1 , March 1992 , pp. 219 - 220
Copyright
Copyright © Applied Probability Trust 1992 

Footnotes

Research carried out while the author was visiting the Department of Statistics, University of Glasgow.

References

Bartlett, R. (1960) Introduction to Matrix Analysis. McGraw-Hill, New York.Google Scholar
Blackwell, P. G. (1990) The Stochastic Modelling of Social and Territorial Behaviour. Unpublished PhD thesis, University of Nottingham.Google Scholar