Euler-Lagrange Equations of Networks with Higher-Order Elements

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17_02_0397_0405.pdf(925.3 KB)
Date
2017-06
Authors
Biolek, Zdenek
Biolek, Dalibor
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Advisor
Referee
Mark
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Volume Title
Publisher
Společnost pro radioelektronické inženýrství
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Abstract
The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table. Newly defined potential functions for general (α, β) elements are used for the construction of generalized Lagrangians and generalized dissipative functions. Also procedures of drawing the Euler-Lagrange equations are demonstrated.
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Keywords
Periodic table of fundamental elements, higher-order elements, content, energy, action, evolution, Lagrangian, dissipation function, FDNR, inerter
Citation
Radioengineering. 2017 vol. 26, č. 2, s. 397-405. ISSN 1210-2512
https://www.radioeng.cz/fulltexts/2017/17_02_0397_0405.pdf
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Peer-reviewed
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Published version
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Language of document
en
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Creative Commons Attribution 4.0 International License
http://creativecommons.org/licenses/by/4.0/
DOI
10.13164/re.2017.0397
URI
http://hdl.handle.net/11012/69255
Collections
2017/2
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