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

Handle URI:
http://hdl.handle.net/10754/622864
Title:
Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7
Authors:
Elwakil, A.S.; Agambayev, Agamyrat; Allagui, A.; Salama, Khaled N. ( 0000-0001-7742-1282 )
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Elwakil 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.
Publisher:
Elsevier BV
Journal:
Chaos, Solitons & Fractals
Issue Date:
7-Feb-2017
DOI:
10.1016/j.chaos.2017.01.017
Type:
Article
ISSN:
0960-0779
Sponsors:
Two of us (ASE and AA) wish to thank the University of Sharjah for financial support (Project # 1602040634-P).
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0960077917300231
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorElwakil, A.S.en
dc.contributor.authorAgambayev, Agamyraten
dc.contributor.authorAllagui, A.en
dc.contributor.authorSalama, Khaled N.en
dc.date.accessioned2017-02-12T08:35:47Z-
dc.date.available2017-02-12T08:35:47Z-
dc.date.issued2017-02-07en
dc.identifier.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.en
dc.identifier.issn0960-0779en
dc.identifier.doi10.1016/j.chaos.2017.01.017en
dc.identifier.urihttp://hdl.handle.net/10754/622864-
dc.description.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.en
dc.description.sponsorshipTwo of us (ASE and AA) wish to thank the University of Sharjah for financial support (Project # 1602040634-P).en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0960077917300231en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Chaos, Solitons & Fractals. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Chaos, Solitons & Fractals, [, , (2017-02-07)] DOI: 10.1016/j.chaos.2017.01.017 . © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectFractional-order oscillatoren
dc.subjectFractional-order capacitoren
dc.subjectHartley oscillatoren
dc.subjectConstant phase elementen
dc.titleExperimental demonstration of fractional-order oscillators of orders 2.6 and 2.7en
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalChaos, Solitons & Fractalsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Electrical and Computer Engineering, University of Sharjah, PO Box 27272, Sharjah, United Arab Emiratesen
dc.contributor.institutionNanoelectronics Integrated Systems Center (NISC), Nile University, Cairo, Egypten
dc.contributor.institutionDepartment of Sustainable and Renewable Energy Engineering, University of Sharjah, PO Box 27272, Sharjah, United Arab Emiratesen
dc.contributor.institutionAdvanced Materials Research Center, University of Sharjah, PO Box 27272, Sharjah, United Arab Emiratesen
dc.contributor.institutionThe Neuroscience Research Institute, The Ohio State University, Columbus, OH, USAen
kaust.authorAgambayev, Agamyraten
kaust.authorSalama, Khaled N.en
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