Constant Current Solution of a Memristor Modelled Using the Mutlu-Kumru Memristor Model and Two Possible Applications
Abstract
The Memristor is a novel and nonlinear circuit element. An analytical solution for the circuit it is part of does not always exist due to its nonlinearity. Also, since it is a new circuit element, the solutions of the memristor-based circuits should be examined. Memristors can be modeled using different approaches. A set of memristor models is called the nonlinear drift models, one of which, the Mutlu-Kumru model is one of the recently proposed. A memristor can be fed with a constant current source. However, its solution under a constant current source for the Mutlu-Kumru memristor model has not been presented in the literature, yet. In this study, the analytical solution of the Mutlu-Kumru memristor model under constant current excitation is presented. It is also demonstrated that the obtained solution can be utilized in analyzing resistive switching of a resistive memory and the modeling of a memristor-based sawtooth oscillator.
Keywords
Memristor, Memristor model, Sawtooth signal generator, Window function, Circuit Analysis.
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