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Correlational Properties of Chebyshev Chaotic Sequences

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  • Tohru Kohda
  • Akio Tsuneda
  • Anthony J. Lawrance

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.

Suggested Citation

  • Tohru Kohda & Akio Tsuneda & Anthony J. Lawrance, 2000. "Correlational Properties of Chebyshev Chaotic Sequences," Journal of Time Series Analysis, Wiley Blackwell, vol. 21(2), pages 181-191, March.
    • Handle: RePEc:bla:jtsera:v:21:y:2000:i:2:p:181-191
    DOI: 10.1111/1467-9892.00180
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