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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 ...
Duality of Complex Systems Built from Higher-Order Elements
The duality of nonlinear systems built from higher-order two-terminal Chua’s elements and independent voltage and current sources is analyzed. Two different approaches are now being generalized for circuits with higher-order ...
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 ...
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., ...