A Hamiltonian formulation for complete nonlinear RLC-networks

In this brief a new Lagrangian and Hamiltonian formulation for complete nonlinear RLC-networks is given. The formalism makes use of the explicit construction of Brayton and Moser´s “mixed potential function” (1964) and therefore explicitly reveals the close connection between the Brayton-Moser equations and Hamiltonian formalisms for dissipative systems. On the basis of our Hamiltonian formalism the examination of noise by means of nonequilibrium statistical mechanics is possible. Furthermore stability propositions can be made that will be essentially different from those given by Brayton and Moser. Because of their complexity these and other possible applications of the formalism are not the subject of this brief