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Classification of Processes by the Lyapunov exponent

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  • Busse, Anja M.

Abstract

This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems. However, the Lyapunov exponent can also be analyzed and used for stochastic time series. Experimental results illustrate the classification between well-predictable and not-well-predictable time series.

Suggested Citation

  • Busse, Anja M., 2004. "Classification of Processes by the Lyapunov exponent," Technical Reports 2004,70, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200470
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    1. Busse, Anja M. & Steuer, Detlef & Weihs, Claus, 2001. "An approach for the determination of predictable time series," Technical Reports 2001,12, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Weihs, Claus & Busse, Anja M., 2004. "Lyapunov exponent for stochastic time series," Technical Reports 2004,37, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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