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

A.S. Elwakil, A. Agambayev, A. Allagui and K.N. Salama

Chaos, Solitons & Fractals, 2017, vol. 96, issue C, 160-164

Abstract: 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 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.

Keywords: Fractional-order oscillator; Fractional-order capacitor; Hartley oscillator; Constant phase element (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:96:y:2017:i:c:p:160-164

DOI: 10.1016/j.chaos.2017.01.017

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