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    5. Issue 4

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/087/04/0049

    • Keywords

       

      Fractional difference equation; chaos; Lyapunov exponent; Gauss map; tent map; discrete fractional calculus.

    • Abstract

       

      Recently, the discrete fractional calculus (DFC) is receiving attention due to its potential applications in the mathematical modelling of real-world phenomena with memory effects. In the present paper, the chaotic behaviour of fractional difference equations for the tent map, Gauss map and 2x(mod 1) map are studied numerically. We analyse the chaotic behaviour of these fractional difference equations and compare them with their integer counterparts. It is observed that fractional difference equations for the Gauss and tent maps are more stable compared to their integer-order version.

    • Author Affiliations

       

      AMEY DESHPANDE1 2 VARSHA DAFTARDAR-GEJJI1

      1. Department of Mathematics, Savitribai Phule Pune University, Pune 411 007, India
      2. Department of Mathematics, College of Engineering Pune, Pune 411 005, India

    • Dates

       
      Published
      16 October 2016
      Manuscript received
      18 September 2014
      Manuscript revised
      4 September 2015
      Accepted
      18 November 2015
      Early published
      7 September 2016

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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