Publication result detail

Differential Equations of Ideal Memristors

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.

Original Title

Differential Equations of Ideal Memristors

English Title

Differential Equations of Ideal Memristors

Type

WoS Article

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.

English 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)

Key words in English

Memristor, differential equation, parameter-vs-state- map (PSM)

Authors

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.

RIV year

2016

Released

08.06.2015

Publisher

Společnost pro radiotechnické inženýrství

Location

Brno

ISBN

1210-2512

Periodical

Radioengineering

Volume

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"
}