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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★ 1 cited
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…
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…