Now showing items 1-5 of 5

  • Euler-Lagrange Equations of Networks with Higher-Order Elements 

    Biolek, Zdeněk; Biolek, Dalibor (Společnost pro radioelektronické inženýrství, 2017-06)
    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 ...
  • Hamilton’s principle for circuits with dissipative elements 

    Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Hindawi, 2019-10-28)
    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 

    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., ...
  • 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 ...
  • Utilization of Euler-Lagrange Equations in Circuits with Memory Elements 

    Biolek, Zdeněk; Biolek, Dalibor; Biolková, Viera (Společnost pro radioelektronické inženýrství, 2016-12)
    It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system. However, this procedure, ...