During the 1960's, Prof. Leon Chua, who was then at Purdue University, established the mathematical foundation for nonlinear circuit theory. This work was the basis for his classic 1969 textbook Introduction to Nonlinear Network Theory as well as a large number of papers he has published in refereed journals.http://regmedia.co.uk/2011/12/22/hp_memristor_history.pdf
Memristoria monet pitävät/pitivät elektroniikan puuttuvana lenkkinä, joka mahdollistaa monia mielenkiintoisia sovelluksia kuten neuraaliverkot.
What is Memristor?
According to the general mathematical model, a memristor is any passive electronic circuit element that displays a pinched hysteresis loop in its i-v characteristic, independent of what the physical mechanism is that causes the hysteresis. The model is useful because it provides quantitative means to predict the properties of such a device in an electronic circuit, for example in a SPICE model. However, no mathematical model is perfect – it is only an approximation to real behavior – this is as true for a resistor as a memristor.http://regmedia.co.uk/2011/12/22/hp_memristor_history.pdf
However, there are some good arguments for why it should be considered the Fourth Fundamental Nonlinear Circuit Element. Chua has shown mathematically that it is not possible to construct an equivalent circuit for a memristor using any combination of only passive nonlinear resistors, capacitors and inductors. Thus, the memristor represents an independent 'basis function' for constructing passive nonlinear circuits, so it has a status similar to the nonlinear resistor, capacitor and inductor.
Chua on todistanut, että fundamentaalisia komponentteja voi nanoteknologialla valmiista äärettömän määrän erilaisia ja siten mitkä valitaan perustavanlaatuisiksi on pitkälle mielipidekysymys.