Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7
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AbstractThe 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 Zc=Rs+1/(jω)αCα), with the corresponding pseudocapacitances of approximately 93nFsec−0.4 and 1.5nFsec−0.26 over the frequency range 200kHz–6MHz (Rs < 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.
CitationElwakil AS, Agambayev A, Allagui A, Salama KN (2017) Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7. Chaos, Solitons & Fractals 96: 160–164. Available: http://dx.doi.org/10.1016/j.chaos.2017.01.017.
SponsorsTwo of us (ASE and AA) wish to thank the University of Sharjah for financial support (Project # 1602040634-P).
JournalChaos, Solitons & Fractals