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Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements
(MDPI AG, 2020-04-05)
The paper studies the construction of the Hamiltonian for circuits built from the (alpha,beta) elements of Chua’s periodic table. It starts from the Lagrange function, whose existence is limited to sigma-circuits, i.e., ...
Lagrangian for circuits with higher-order elements
The necessary and sufficient conditions of the validity of Hamilton’s variational principle for circuits consisting of (alpha,beta) elements from Chua’s periodical table are derived. It is shown that the principle holds ...
Hamilton’s principle for circuits with dissipative elements
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 ...