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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Taylor & Francis Group
2019
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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) |
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fractional calculus fractional memristor parametric oscillation wien oscillator Engineering (General). Civil engineering (General) TA1-2040 |
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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 |
_version_ |
1718444746820550656 |