49 citations · 276 across the 34 of their papers we have counts for
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Maps of q-deformed fractional order: From circle to cardioid via crescent
Sachin Bhalekar, Prashant M. Gade
We introduce a class of \(q\)-deformed fractional order maps by replacing the classical binomial memory kernel in discrete fractional dynamics with Gaussian (\(q\)-) binomial coeff…
Analysis of the maps with variable fractional order
Prashant M. Gade, Sachin Bhalekar, Janardhan Chevala
Fractional order differential and difference equations are used to model systems with memory. Variable order fractional equations are proposed to model systems where the memory cha…
Dynamical Analysis Of Fractional Order Generalized Logistic Map
Sachin Bhalekar, Janardhan Chevala, Prashant M. Gade
In this work, we propose a generalization to the classical logistic map. The generalized map preserves most properties of the classical map and has richer dynamics as it contains t…
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…
Fractional Order Periodic Maps: Stability Analysis and Application to the Periodic-2 Limit Cycles in the Nonlinear Systems
Sachin Bhalekar, Prashant M. Gade
We consider the stability of periodic map with period- in linear fractional difference equations where the function is at even times and at odd times. The st…
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…