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

A.S. Elwakil, Agamyrat Agambayev, A. Allagui, Khaled N. Salama

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31 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)160-164
Number of pages5
JournalChaos, Solitons & Fractals
Volume96
DOIs
StatePublished - Feb 7 2017

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