Lagrangian and Hamiltonian formalisms for coupled higher-order elements: theory, modeling, simulation

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.