Fractional-order charge-controlled memristor: theoretical analysis and simulation

Fractional calculus generalizes integer-order derivatives and integrals. Memristor represents the missing relation between the charge and flux among the conventional elements. This paper introduces the fractional calculus into charge-controlled memristor to establish a unified cubic fractional-order...

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Bibliographic Details
Published inNonlinear dynamics Vol. 87; no. 4; pp. 2625 - 2634
Main Authors Si, Gangquan, Diao, Lijie, Zhu, Jianwei
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2017
Springer Nature B.V
Subjects
Automotive Engineering
Calculus
Classical Mechanics
Computer simulation
Control
Derivatives
Dynamical Systems
Engineering
Flux
Fractional calculus
Hysteresis loops
Mathematical analysis
Mechanical Engineering
Memory devices
Memristors
Original Paper
Resistors
Vibration
Memristor
Charge-controlled
Fractional calculus
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Summary:Fractional calculus generalizes integer-order derivatives and integrals. Memristor represents the missing relation between the charge and flux among the conventional elements. This paper introduces the fractional calculus into charge-controlled memristor to establish a unified cubic fractional-order charge-controlled memristor model, which is more general and comprehensive, and the model is analyzed when the fractional-order α change in the range of 0–1. Some interesting phenomena are found that the I – V characteristic is not the conventional double-loop I – V curves, but which can be called triple-loop I – V curves. The area inside the hysteresis loops decreases not only by the fractional-order α decreasing, but also by the input frequency ω increasing.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-3215-1