• AMEY DESHPANDE

      Articles written in Pramana – Journal of Physics

    • Chaos in discrete fractional difference equations

      AMEY DESHPANDE VARSHA DAFTARDAR-GEJJI

      More Details Abstract Fulltext PDF

      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.

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