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20222026
most citedStudy of Low-dimensional Nonlinear Fractional Difference Equations of Complex Order

11 citations · 18 across the 5 of their papers we have counts for

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5 papers

cond-mat.stat-mech2026

Pattern Formation in Excitable Neuronal Maps

Divya D. Joshi, Trupti R. Sharma, Prashant M. Gade

Coupled excitable systems can generate a variety of patterns. In this work, we investigate coupled Chialvo maps in two dimensions under two types of nearest-neighbor couplings. One…

cond-mat.stat-mech2024

Cellular Automata model for period- synchronization: A new universality class

Divya D. Joshi, Prashant M. Gade

There are few known universality classes of absorbing phase transitions in one dimension and most models fall in the well-known directed percolation (DP) class. Synchronization is…

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, for and in 1 and 2 dimensions. In two dimensions, we study H{é}non and Lozi map and in , we…