Detail publikace

Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements

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

Originální název

Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The paper studies the construction of the Hamiltonian for circuits built from the (alpha,beta) elements of Chua’s periodic table. It starts from the Lagrange function, whose existence is limited to sigma-circuits, i.e., circuits built exclusively from elements located on a common sigma-diagonal of the table. We show that the Hamiltonian can also be constructed via the generalized Tellegen’s theorem. According to the ideas of predictive modeling, the resulting Hamiltonian is made up exclusively of the constitutive relations of the elements in the circuit. Within the frame of Ostrogradsky’s formalism, the simulation scheme of S-circuits is designed and examined with the example of a nonlinear Pais–Uhlenbeck oscillator.

Klíčová slova

higher-order element; constitutive relation; Hamiltonian; Lagrangian; Chua’s table; memristor; Euler-Lagrange equation

Autoři

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

Vydáno

5. 4. 2020

Nakladatel

MDPI AG

Místo

Basel, Switzerland

ISSN

1099-4300

Periodikum

ENTROPY

Ročník

22

Číslo

4

Stát

Švýcarská konfederace

Strany od

1

Strany do

20

Strany počet

20

URL

https://www.mdpi.com/1099-4300/22/4/412

Plný text v Digitální knihovně

http://hdl.handle.net/11012/188176

BibTex

@article{BUT164146,
  author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements",
  journal="ENTROPY",
  year="2020",
  volume="22",
  number="4",
  pages="1--20",
  doi="10.3390/e22040412",
  issn="1099-4300",
  url="https://www.mdpi.com/1099-4300/22/4/412"
}