Dynamical Properties of Fractional-Order Memristor

The properties of a fractional-order memristor is studied, and the influences of parameters are analyzed and compared. The results reflect that the resistance value of a fractional-order memristor can be affected by fraction-order, frequency, the switch resistor ratio, average mobility and so on. In...

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Main Authors: Shao Fu Wang, Aiqin Ye
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/3/437
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author Shao Fu Wang
Aiqin Ye
author_facet Shao Fu Wang
Aiqin Ye
author_sort Shao Fu Wang
collection DOAJ
description The properties of a fractional-order memristor is studied, and the influences of parameters are analyzed and compared. The results reflect that the resistance value of a fractional-order memristor can be affected by fraction-order, frequency, the switch resistor ratio, average mobility and so on. In addition, the circuit of a fractional-order memristor that is serially connected and connected in parallel with inductance and capacitance are studied. Then, the current−voltage characteristics of a simple series one-port circuits that are composed of a fractional-order memristor and a capacitor, or composed of a fractional-order memristor and a inductor are studied separately. The results demonstrate that at the periodic excitation, the memristor in the series circuits will have capacitive properties or inductive properties as the fractional order changes, the dynamical properties can be used in a memristive circuit.
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spelling doaj.art-8b18cb5c8ac44c66a3bc015c8de83c952022-12-22T04:03:45ZengMDPI AGSymmetry2073-89942020-03-0112343710.3390/sym12030437sym12030437Dynamical Properties of Fractional-Order MemristorShao Fu Wang0Aiqin Ye1College of Electrical and Electronic Engineering, Anhui Science and Technology University, Bengbu 233100, ChinaCollege of Electrical and Electronic Engineering, Anhui Science and Technology University, Bengbu 233100, ChinaThe properties of a fractional-order memristor is studied, and the influences of parameters are analyzed and compared. The results reflect that the resistance value of a fractional-order memristor can be affected by fraction-order, frequency, the switch resistor ratio, average mobility and so on. In addition, the circuit of a fractional-order memristor that is serially connected and connected in parallel with inductance and capacitance are studied. Then, the current−voltage characteristics of a simple series one-port circuits that are composed of a fractional-order memristor and a capacitor, or composed of a fractional-order memristor and a inductor are studied separately. The results demonstrate that at the periodic excitation, the memristor in the series circuits will have capacitive properties or inductive properties as the fractional order changes, the dynamical properties can be used in a memristive circuit.https://www.mdpi.com/2073-8994/12/3/437fraction-order memristordevice propertyserial and paralleldynamical analysis
spellingShingle Shao Fu Wang
Aiqin Ye
Dynamical Properties of Fractional-Order Memristor
Symmetry
fraction-order memristor
device property
serial and parallel
dynamical analysis
title Dynamical Properties of Fractional-Order Memristor
title_full Dynamical Properties of Fractional-Order Memristor
title_fullStr Dynamical Properties of Fractional-Order Memristor
title_full_unstemmed Dynamical Properties of Fractional-Order Memristor
title_short Dynamical Properties of Fractional-Order Memristor
title_sort dynamical properties of fractional order memristor
topic fraction-order memristor
device property
serial and parallel
dynamical analysis
url https://www.mdpi.com/2073-8994/12/3/437
work_keys_str_mv AT shaofuwang dynamicalpropertiesoffractionalordermemristor
AT aiqinye dynamicalpropertiesoffractionalordermemristor