Publication detail

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

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

Original Title

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

English Title

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

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

extended memristor; generic memristor; differential equation

Released

04.12.2017

Publisher

IEEE

Location

Nottingham, UK

ISBN

978-1-5386-3752-4

Book

AMS2017

Pages from

58

Pages to

62

Pages count

5

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",
  annote="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.",
  address="IEEE",
  booktitle="AMS2017",
  chapter="143291",
  doi="10.1109/AMS.2017.17",
  howpublished="electronic, physical medium",
  institution="IEEE",
  year="2017",
  month="december",
  pages="58--62",
  publisher="IEEE",
  type="conference paper"
}