Revisiting the memristor concept within basic circuit theory

In this paper, we revisit the memristor concept within circuit theory. We start from definition of basic elements; then, introduce original formulation and summarize some controversies on its nature. also point out ambiguities resulting a nonrigorous usage flux linkage concept. After concluding that is not fourth element, prompted by claims in literature, look into application to electrophysiology, realizing an approach suitable explain observed inductive behavior giant squid axon had already been developed 1960s, with introduction “time-variant resistors.' discuss recent implementation which magnetic plays direct role, it cannot strictly qualify as memristor, because v-i curve exactly pinch at origin. Finally, present numerical simulations few memristors memristive systems, focusing φ-q plane. show that, contrary what happens for most concept, general single-valued or even closed.