Detail publikace

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

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

Jazyk

en

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.

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"
}