Research on Memristor and LDR Memristor Mathematic Models

Wang Xiao-Yuan, Wang Guang-Yi

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12D) 138-144

School of Electronic Information, Hangzhou Dianzi University, 310018, China

In this paper, the mathematic models used to describe memristors are summarized, including the cubic nonlinear model, passive and active monotonic increasing piecewise linear models, parabolic curve model and memristive system model of memristor. To further understand these models’ characteristics, the definitions on memristor, HP memristor and each mathematic model are introduced first, based on that the basic characters, power characters and circuit characters are studied in detail. And as we known, the LDR(Light Dependent Resistor) memristor which is a novel analogue model of the memristor proposed in 2012 can be used as a two port device like a resistor, it is good in using for future research into memristor applications. So here, by studying the mathematic models of memristor, one of the most suitable mathematic models for the LDR memristor is decided.