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Reseach Article

Memristor Theory and Mathematical Modelling

by Ezeogu Apollos
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 178 - Number 27
Year of Publication: 2019
Authors: Ezeogu Apollos
10.5120/ijca2019919089

Ezeogu Apollos . Memristor Theory and Mathematical Modelling. International Journal of Computer Applications. 178, 27 ( Jun 2019), 1-8. DOI=10.5120/ijca2019919089

@article{ 10.5120/ijca2019919089,
author = { Ezeogu Apollos },
title = { Memristor Theory and Mathematical Modelling },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2019 },
volume = { 178 },
number = { 27 },
month = { Jun },
year = { 2019 },
issn = { 0975-8887 },
pages = { 1-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume178/number27/30703-2019919089/ },
doi = { 10.5120/ijca2019919089 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:51:33.652236+05:30
%A Ezeogu Apollos
%T Memristor Theory and Mathematical Modelling
%J International Journal of Computer Applications
%@ 0975-8887
%V 178
%N 27
%P 1-8
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Memristor is the newly discovered fourth circuit element. The other familiar three circuit elements are resistor, capacitor and inductor. In 1971, Leon Chua reasoned that there should be a fourth circuit element on the ground of symmetry that gives a relationship between flux and charge. He named it memory resistor, abbreviated as memristor. The first experimental manufacture of this fourth element was published in May 2008 by HP researchers team led by Stanley Williams. Afterwords, researchers have been exploring memristor and its possible applications. Thus, this report studies and presents the general theory of memristor, classification of memristor, the I-V characteristics, the non volatility memory, the switching mechanism for bipolar switching in TiO2, the mathematical models of memristor including the various window functions; and also potential applications of memristor. Meanwhile, where necessary simulation are carried out using Cadence Virtuoso design tool and VerilogA for modelling the memristor for simulation purpose.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Memristor Hysteresis loop I-V characteristics Linear model Non linear model Exponential model Simmons Tunel Barrier Model TEAM Model