Publication detail

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

BIOLEK, Z. BIOLEK, D. BIOLKOVÁ, V.

Original Title

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

Type

journal article in Web of Science

Language

English

Original Abstract

It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system. However, this procedure, consisting in a systematic differentiation of the above state functions, cannot be used for circuits containing simultaneously conventional nonlinear elements such as the resistor, capacitor, and inductor, and their nonlinear memory versions – the memristor, memcapacitor, and meminductor. The paper provides a general solution to this problem and demonstrates it on the example of modeling Josephson’s junction.

Keywords

Resistor; capacitor; inductor; memristor; memcapacitor; meminductor; content; energy; action; Lagrangian

Authors

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.

Released

1. 12. 2016

Publisher

Společnost pro radioelektronické inženýrství

Location

Brno, ČR

ISBN

1210-2512

Periodical

Radioengineering

Year of study

25

Number

4

State

Czech Republic

Pages from

783

Pages to

789

Pages count

7

URL

http://dx.doi.org/10.13164/re.2016.0783

BibTex

@article{BUT129552,
  author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková}",
  title="Utilization of Euler-Lagrange Equations in Circuits with Memory Elements",
  journal="Radioengineering",
  year="2016",
  volume="25",
  number="4",
  pages="783--789",
  doi="10.13164/re.2016.0783",
  issn="1210-2512",
  url="http://dx.doi.org/10.13164/re.2016.0783"
}