Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7

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Ahmed S. Elwakil, et al., "Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7". Chaos, Solitons & Fractals, 96, 2017,  160.

The purpose of this work is to provide an experimental demonstration for the development of sinusoidal oscillations in a fractional-order Hartley-like oscillator. Solid-state fractional-order electric double-layer capacitors were first fabricated using graphene-percolated P (VDF-TrFE-CFE) composite structure, and then characterized by using electrochemical impedance spectroscopy. The devices exhibit the fractional orders of 0.6 and 0.74 respectively (using the model Z c= R s+ 1/(j ω) α C α), with the corresponding pseudocapacitances of approximately 93nF sec− 0.4 and 1.5 nF sec− 0.26 over the frequency range 200kHz–6MHz (R s< 15Ω). Then, we verified using these fractional-order devices integrated in a Hartley-like circuit that the fractional-order oscillatory behaviors are of orders 2.6 and 2.74.