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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
Pages to
7
Pages count
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" }