(Co)content in Circuits With Memristive Elements

The paper deals with the extension of the concept of content and cocontent functions, known from the theory of nonlinear resistive circuits, to circuits with memristive elements. The connection between the (co)content and the area of the hysteresis loop of a memristive element is indicated. It is proved and demonstrated on examples that the area of the hysteresis loop of a one-port, composed entirely of memristive elements, equals the sum of the areas of the loops of individual memristive elements. It is also proved that the law of conservation of (co)content applies also to circuits with memristive elements.