Study of Low-dimensional Nonlinear Fractional Difference Equations of Complex Order

Divya D Joshi, Prashant M Gade, Sachin Bhalekar

We study the fractional maps of complex order, ${\alpha }_0{e}^{ir\pi /2}$ for $0<{\alpha }_0<1$ and $0\le r<1$ in 1 and 2 dimensions. In two dimensions, we study H{é}non and Lozi map and in $1d$, we…