Correlational Properties of Chebyshev Chaotic Sequences

Tohru Kohda, Akio Tsuneda and Anthony J. Lawrance

Journal of Time Series Analysis, 2000, vol. 21, issue 2, 181-191

Abstract: We evaluate dependence of a chaotic real‐valued trajectory generated by the Chebyshev map of degree k (≥ 2) by using the kth‐order dependency moments. We find that a real‐valued trajectory generated by the Chebyshev map of degree k has the kth‐order correlated property and the ek(N)‐delay correlated property to be defined here. Results for other well‐known maps with the equidistributivity property defined in our previous paper are also given briefly.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:bla:jtsera:v:21:y:2000:i:2:p:181-191

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