Detail publikačního výsledku

Voltage-Current Differential Equations of Extended Memristors with One-Dimensional State

BIOLKOVÁ, V.; BIOLEK, Z.; BIOLEK, D.; KOLKA, Z.

Originální název

Voltage-Current Differential Equations of Extended Memristors with One-Dimensional State

Anglický název

Voltage-Current Differential Equations of Extended Memristors with One-Dimensional State

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The extended memristor is characterized by its port equation as state-dependent Ohm's law and by the state equation describing its dynamics. Its equivalent model is the differential equation (DE) between the memristor voltage, current, and their derivatives with respect to time. The paper presents the derivation of a general form of the DE for arbitrary extended memristors with scalar, i.e. one-dimensional state. It is shown that this DE is always a first-order nonlinear equation. DEs for the hyperbolic model of the Hewlett-Packard memristor with the Joglekar window function and also for some representatives of generic memristors are presented.

Anglický abstrakt

The extended memristor is characterized by its port equation as state-dependent Ohm's law and by the state equation describing its dynamics. Its equivalent model is the differential equation (DE) between the memristor voltage, current, and their derivatives with respect to time. The paper presents the derivation of a general form of the DE for arbitrary extended memristors with scalar, i.e. one-dimensional state. It is shown that this DE is always a first-order nonlinear equation. DEs for the hyperbolic model of the Hewlett-Packard memristor with the Joglekar window function and also for some representatives of generic memristors are presented.

Klíčová slova

extended memristor; generic memristor; differential equation

Klíčová slova v angličtině

extended memristor; generic memristor; differential equation

Autoři

BIOLKOVÁ, V.; BIOLEK, Z.; BIOLEK, D.; KOLKA, Z.

Rok RIV

2018

Vydáno

04.12.2017

Nakladatel

IEEE

Místo

Nottingham, UK

ISBN

978-1-5386-3752-4

Kniha

AMS2017

Strany od

58

Strany do

62

Strany počet

5

URL

BibTex

@inproceedings{BUT143291,
  author="Viera {Biolková} and Zdeněk {Biolek} and Dalibor {Biolek} and Zdeněk {Kolka}",
  title="Voltage-Current Differential Equations of Extended Memristors with One-Dimensional State",
  booktitle="AMS2017",
  year="2017",
  pages="58--62",
  publisher="IEEE",
  address="Nottingham, UK",
  doi="10.1109/AMS.2017.17",
  isbn="978-1-5386-3752-4",
  url="https://ieeexplore.ieee.org/document/8424307"
}