Detail publikace

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

BIOLEK, Z. BIOLEK, D. BIOLKOVÁ, V.

Originální název

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.

Vydáno

1. 12. 2016

Nakladatel

Společnost pro radioelektronické inženýrství

Místo

Brno, ČR

ISSN

1210-2512

Periodikum

Radioengineering

Ročník

25

Číslo

4

Stát

Česká republika

Strany od

783

Strany do

789

Strany počet

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"
}