• Hierarchy of rational order families of chaotic maps with an invariant measure

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    • Keywords


      Kolmogorov-Sinai entropy; invariant measure; Lyapunov exponent; chaos

    • Abstract


      We introduce an interesting hierarchy of rational order chaotic maps that possess an invariant measure. In contrast to the previously introduced hierarchy of chaotic maps [1–5], with merely entropy production, the rational order chaotic maps can simultaneously produce and consume entropy. We compute the Kolmogorov-Sinai entropy of these maps analytically and also their Lyapunov exponent numerically, where the obtained numerical results support the analytical calculations.

    • Author Affiliations


      M A Jafarizadeh1 2 3 M Foroutan2 3 4 S Ahadpour1 2 3

      1. Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz - 51664, Iran
      2. Institute for Studies in Theoretical Physics and Mathematics, Tehran - 19395-1795, Iran
      3. Research Institute for Fundamental Sciences, Tabriz - 51664, Iran
      4. Department of Chemistry, Faculty of Science, Tehran University, Tehran, Iran
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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