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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 ...
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 ...
About v-i Pinched Hysteresis of Some Non-Memristive Systems
A special subset of two-terminal elements providing pinched hysteresis loops in the voltage-current plane with the lobe area increasing with the frequency is analysed. These devices are identified as non-memristive systems ...