Euler-Lagrange Equations of Networks with Higher-Order Elements
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.
Keywords
Periodic table of fundamental elements, higher-order elements, content, energy, action, evolution, Lagrangian, dissipation function, FDNR, inerterPersistent identifier
http://hdl.handle.net/11012/69255Document type
Peer reviewedDocument version
Final PDFSource
Radioengineering. 2017 vol. 26, č. 2, s. 397-405. ISSN 1210-2512https://www.radioeng.cz/fulltexts/2017/17_02_0397_0405.pdf
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