Variable-Relation Criterion for Analysis of the Memristor

To judge whether the memristor can be interpreted as the fourth fundamental circuit element, we propose a variable-relation criterion of fundamental circuit elements. According to the criterion, we investigate the nature of three fundamental circuit elements and the memristor. From the perspective of variables relation, the memristor builds a direct relation between the voltage across it and the current through it, instead of a direct relation between the magnetic flux and the charge. Thus, it is better to characterize the memristor and the resistor as two special cases of the same fundamental circuit element, which is the memristive system in Chua’s new framework. Finally, the definition of memristor is refined according to the difference between the magnetic flux and the flux linkage. Keywords—Memristor, Fundamental, Variable-Relation Criterion, Memristive system