Abstract
In this work, the definition of the constitutive relation of a classical higher-order two-terminal element from Chua’s table is extended to the coupled element. The way and the conditions of introducing the corresponding potential function are shown. The forms of the Lagrangian and Hamiltonian of circuits containing coupled elements are derived. The modeling techniques using coupled elements are demonstrated.
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This work has been supported by the Czech Science Foundation under grant no. 20-26849S. For research, the infrastructure of K206 and K217 UD Brno was also used.
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Biolek, Z., Biolek, D., Biolková, V. et al. Lagrangian and Hamiltonian formalisms for coupled higher-order elements: theory, modeling, simulation. Nonlinear Dyn 104, 3547–3560 (2021). https://doi.org/10.1007/s11071-021-06525-w
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DOI: https://doi.org/10.1007/s11071-021-06525-w