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Application of a Graphical Test for Analyzing Dynamic Systems with a Joker

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Abstract

A method for analyzing dynamic systems with a joker is proposed which makes it possible to establish the presence of a joker and determine its type from a series of observations of a single system variable. The possibility of obtaining numerical characteristics such as an estimate of the fractal dimensionality, Lyapunov indices, etc., in systems with a joker is examined. The correlation dimensionality is estimated by calculation for Henon mappings with an interval joker.

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Authors and Affiliations

  1. Zaporozhe State University, Ukraine

    A. Yu. Pozdnyakova & L. N. Sergeeva

Authors
  1. A. Yu. Pozdnyakova
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  2. L. N. Sergeeva
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Pozdnyakova, A.Y., Sergeeva, L.N. Application of a Graphical Test for Analyzing Dynamic Systems with a Joker. Journal of Mathematical Sciences 107, 4477–4481 (2001). https://doi.org/10.1023/A:1012533307077

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  • DOI: https://doi.org/10.1023/A:1012533307077

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