Publication detail

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

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

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

23. 6. 2021

Publisher

SPRINGER

Location

DORDRECHT

ISBN

0924-090X

Periodical

NONLINEAR DYNAMICS

Year of study

104

Number

1

State

United States of America

Pages from

3547

Pages to

3560

Pages count

14

URL

https://dx.doi.org/10.1007/s11071-021-06525-w

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"
}