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BIOLEK, Z. BIOLEK, D. BIOLKOVÁ, V.
Original Title
Differential Equations of Ideal Memristors
Type
journal article in Web of Science
Language
English
Original Abstract
Ideal memristor is a resistor with a memory, which adds dynamics to its behavior. The most usual characteristics describing this dynamics are the constitutive relation (i.e. the relation between flux and charge), or Parameter-vs-state- map (PSM), mostly represented by the memristance-to-charge dependence. One of the so far unheeded tools for memristor description is its differential equation (DEM), composed exclusively of instantaneous values of voltage, current, and their derivatives. The article derives a general form of DEM that holds for any ideal memristor and shows that it is always a nonlinear equation of the first order; the PSM forms are found for memristors which are governed by DEMs of the Bernoulli and the Riccati types; a classification of memristors according to the type of their dynamics with respect to voltage and current is carried out.
Keywords
Memristor, differential equation, parameter-vs-state- map (PSM)
Authors
BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.
RIV year
2015
Released
8. 6. 2015
Publisher
Společnost pro radiotechnické inženýrství
Location
Brno
ISBN
1210-2512
Periodical
Radioengineering
Year of study
24
Number
2
State
Czech Republic
Pages from
369
Pages to
377
Pages count
9
URL
http://www.radioeng.cz/fulltexts/2015/15_02_0369_0377.pdf
BibTex
@article{BUT114988, author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková}", title="Differential Equations of Ideal Memristors", journal="Radioengineering", year="2015", volume="24", number="2", pages="369--377", doi="10.13164/re.2015.0369", issn="1210-2512", url="http://www.radioeng.cz/fulltexts/2015/15_02_0369_0377.pdf" }