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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/067/06/1073-1086

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.