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Lagrangian for circuits with higher-order elements 

Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (MDPI, 2019-10-29)
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 ...
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Duality of Complex Systems Built from Higher-Order Elements 

Biolek, Dalibor; Biolek, Zdeněk; Biolková, Viera (Hindawi, 2018-09-07)
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 ...
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About v-i Pinched Hysteresis of Some Non-Memristive Systems 

Biolek, Dalibor; Biolek, Zdeněk; Biolková, Viera; Ascoli, Alon; Tetzlaff, Ronald (Hindawi, 2018-09-24)
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 ...
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Higher-Order Hamiltonian for Circuits with (alpha,beta) Elements 

Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera; Kolka, Zdeněk (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., ...

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AuthorBiolek, Dalibor (4)Biolek, Zdeněk (4)Biolková, Viera (4)Ascoli, Alon (1)Kolka, Zdeněk (1)Tetzlaff, Ronald (1)Subject
memristor (4)
higher-order element (3)Chua’s table (2)constitutive relation (2)Euler-Lagrange equation (2)Lagrangian (2)capacitor (1)duality (1)Hamiltonian (1)Hamilton’s variational principle (1)... View MoreDate Issued2020 (1)2019 (1)2018 (2)

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