20 citations · 111 across the 35 of their papers we have counts for
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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…
Can a Fractional Order Delay Differential Equation be Chaotic Whose Integer-Order Counterpart is Stable?
Sachin Bhalekar, Deepa Gupta
For the fractional order systems \[D^αx(t)=f(x),\quad 0<α\leq 1,\] one can have a critical value of viz such that the system is stable for and unstable for $α_*…
Stability and Bifurcation Analysis of a Fractional Order Delay Differential Equation Involving Cubic Nonlinearity
Sachin Bhalekar, Deepa Gupta
Fractional derivative and delay are important tools in modeling memory properties in the natural system. This work deals with the stability analysis of a fractional order delay dif…
Stability analysis of fixed point of fractional-order coupled map lattices
Sachin Bhalekar, Prashant M. Gade
We study the stability of synchronized fixed-point state for linear fractional-order coupled map lattice(CML). We observe that the eigenvalues of the connectivity matrix determine…