Chaos in discrete fractional difference equations

Pramana

VARSHA DAFTARDAR-GEJJI1¹  AMEY DESHPANDE1¹ 

[1] Department of Mathematics, Savitribai Phule Pune University, Pune 411 007, India$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown