Divya D. Joshi

most citedStudy of Low-dimensional Nonlinear Fractional Difference Equations of Complex Order

11 citations · 18 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2023

Stability Analysis of Fractional Difference Equations with Delay

Divya D. Joshi, Sachin Bhalekar, Prashant M. Gade

Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermo…

math.DS2023★ 7 cited

Controlling Fractional Difference Equations Using Feedback

Divya D. Joshi, Sachin Bhalekar, Prashant M. Gade

One of the most popular methods of controlling dynamical systems is feedback. It can be used without acquiring detailed knowledge of the underlying system. In this work, we study t…

nlin.CD2022★ 11 cited

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, $α_{0} e^{i r π /2}$ for $0 < α_{0} < 1$ and $0 \leq r < 1$ in 1 and 2 dimensions. In two dimensions, we study H{é}non and Lozi map and in $1 d$ , we…