On the fractional domain generalization of memristive parametric oscillators

In this research, we generalize a family of electronic parametric oscillators in the fractional domain by using a state of the art circuit element namely fractional memristor. Such family of parametric oscillators is the memristor based Wien family which is an extension of the normal Wien family. No...

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Autor principal: Rawid Banchuin
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Lenguaje:EN
Publicado: Taylor & Francis Group 2019
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Acceso en línea:https://doaj.org/article/e759db7400e9483b8a75d9a1611882b9
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spelling oai:doaj.org-article:e759db7400e9483b8a75d9a1611882b92021-11-04T15:51:55ZOn the fractional domain generalization of memristive parametric oscillators2331-191610.1080/23311916.2019.1617094https://doaj.org/article/e759db7400e9483b8a75d9a1611882b92019-01-01T00:00:00Zhttp://dx.doi.org/10.1080/23311916.2019.1617094https://doaj.org/toc/2331-1916In this research, we generalize a family of electronic parametric oscillators in the fractional domain by using a state of the art circuit element namely fractional memristor. Such family of parametric oscillators is the memristor based Wien family which is an extension of the normal Wien family. Noted that such normal Wien family is one family of the simplest second-order nonparametric oscillators. We derive the equations of the range of oscillating frequency, sustained oscillating frequency, sustained oscillating condition and the output voltage by using our mathematical model of the fractional memristor as the basis. With the obtained results and numerical simulations, the effects of the fractional memristor to the generalized parametric oscillators have been studied where the validation has been performed based on the SPICE HP memristor model. We have found that those oscillators with the fractional memristor of order greater than unity are more preferable.Rawid BanchuinTaylor & Francis Grouparticlefractional calculusfractional memristorparametric oscillationwien oscillatorEngineering (General). Civil engineering (General)TA1-2040ENCogent Engineering, Vol 6, Iss 1 (2019)
institution DOAJ
collection DOAJ
language EN
topic fractional calculus
fractional memristor
parametric oscillation
wien oscillator
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle fractional calculus
fractional memristor
parametric oscillation
wien oscillator
Engineering (General). Civil engineering (General)
TA1-2040
Rawid Banchuin
On the fractional domain generalization of memristive parametric oscillators
description In this research, we generalize a family of electronic parametric oscillators in the fractional domain by using a state of the art circuit element namely fractional memristor. Such family of parametric oscillators is the memristor based Wien family which is an extension of the normal Wien family. Noted that such normal Wien family is one family of the simplest second-order nonparametric oscillators. We derive the equations of the range of oscillating frequency, sustained oscillating frequency, sustained oscillating condition and the output voltage by using our mathematical model of the fractional memristor as the basis. With the obtained results and numerical simulations, the effects of the fractional memristor to the generalized parametric oscillators have been studied where the validation has been performed based on the SPICE HP memristor model. We have found that those oscillators with the fractional memristor of order greater than unity are more preferable.
format article
author Rawid Banchuin
author_facet Rawid Banchuin
author_sort Rawid Banchuin
title On the fractional domain generalization of memristive parametric oscillators
title_short On the fractional domain generalization of memristive parametric oscillators
title_full On the fractional domain generalization of memristive parametric oscillators
title_fullStr On the fractional domain generalization of memristive parametric oscillators
title_full_unstemmed On the fractional domain generalization of memristive parametric oscillators
title_sort on the fractional domain generalization of memristive parametric oscillators
publisher Taylor & Francis Group
publishDate 2019
url https://doaj.org/article/e759db7400e9483b8a75d9a1611882b9
work_keys_str_mv AT rawidbanchuin onthefractionaldomaingeneralizationofmemristiveparametricoscillators
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