Detail publikace

Lagrangian and Hamiltonian formalisms for coupled higher-order elements: theory, modeling, simulation

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

Originální název

Lagrangian and Hamiltonian formalisms for coupled higher-order elements: theory, modeling, simulation

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In this work, the definition of the constitutive relation of a classical higher-order two-terminal element from Chua's table is extended to the coupled element. The way and the conditions of introducing the corresponding potential function are shown. The forms of the Lagrangian and Hamiltonian of circuits containing coupled elements are derived. The modeling techniques using coupled elements are demonstrated.

Klíčová slova

Higher-order element; Chua's table; Coupled elements; Constitutive relation; Potential function; Hamiltonian; Lagrangian

Autoři

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

Vydáno

23. 6. 2021

Nakladatel

SPRINGER

Místo

DORDRECHT

ISSN

0924-090X

Periodikum

NONLINEAR DYNAMICS

Ročník

104

Číslo

1

Stát

Spojené státy americké

Strany od

3547

Strany do

3560

Strany počet

14

URL

BibTex

@article{BUT171888,
  author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="Lagrangian and Hamiltonian formalisms for coupled higher-order elements: theory, modeling, simulation",
  journal="NONLINEAR DYNAMICS",
  year="2021",
  volume="104",
  number="1",
  pages="3547--3560",
  doi="10.1007/s11071-021-06525-w",
  issn="0924-090X",
  url="https://dx.doi.org/10.1007/s11071-021-06525-w"
}