Detail publikace

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

Originální název

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

Anglický název

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements

Jazyk

en

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.

Anglický 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.

BibTex


@article{BUT129552,
  author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková}",
  title="Utilization of Euler-Lagrange Equations in Circuits with Memory Elements",
  annote="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.",
  address="Společnost pro radioelektronické inženýrství",
  chapter="129552",
  doi="10.13164/re.2016.0783",
  howpublished="online",
  institution="Společnost pro radioelektronické inženýrství",
  number="4",
  volume="25",
  year="2016",
  month="december",
  pages="783--789",
  publisher="Společnost pro radioelektronické inženýrství",
  type="journal article in Web of Science"
}