Publication detail

Hamilton’s principle for circuits with dissipative elements

BIOLEK, Z. BIOLEK, D. BIOLKOVÁ, V.

Original Title

Hamilton’s principle for circuits with dissipative elements

Type

journal article in Web of Science

Language

English

Original Abstract

The classic form of Hamilton’s variational principle does not hold for circuits with dissipative elements. It is shown in the paper that this may not be true in the case of systems consisting of the so-called higher-order elements. Hamilton’s principle is then extended to circuits containing the classical resistors and Frequency Dependent Negative Resistors (FDNRs). The extension is also made to any pair of elements which are the nearest neighbours on any sigma-diagonal of Chua’s table.

Keywords

Hamilton's variational principle, higher-order element, Lagrangian, FDNR.

Authors

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.

Released

28. 10. 2019

Publisher

Hindawi

Location

USA

ISBN

1076-2787

Periodical

COMPLEXITY

Year of study

2019

Number

1

State

United States of America

Pages from

1

Pages to

7

Pages count

7

URL

https://dx.doi.org/10.1155/2019/2035324

Full text in the Digital Library

http://hdl.handle.net/11012/184089

BibTex

@article{BUT159542,
  author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková}",
  title="Hamilton’s principle for circuits with dissipative elements",
  journal="COMPLEXITY",
  year="2019",
  volume="2019",
  number="1",
  pages="1--7",
  doi="10.1155/2019/2035324",
  issn="1076-2787",
  url="https://dx.doi.org/10.1155/2019/2035324"
}