Generalized two-port elements

The development of models constitutes a fundamental step in the study of natural and artificial systems. Present day science aims to address broader and more complex areas of application requiring, therefore, new concepts and models. This paper explores the concept of generalized two-port network by embedding the ideas of fractional calculus, memristor, transformer and gyrator. Each element represents separately one possible direction for generalizing the classical elements, but the cross-fertilization of the distinct topics has been overlooked. In this line of thought, the proposal of a novel element is a logical conjecture for obeying the symmetries that have been discovered in nature.