Mutlu-Kumru Memristör Modeli Kullanılarak Modellenen Bir Memristörün Sabit Akım Çözümü ve İki Olası Uygulama

Year 2025, Volume: 26 Issue: 2, 77 - 90, 31.12.2025

Ertuğrul Karakulak , Reşat Mutlu

https://doi.org/10.59314/tujes.1736117

Abstract

Memristör, yeni ve doğrusal olmayan bir devre elemanıdır. Doğrusal olmaması nedeniyle, içinde bulunduğu devrenin analitik çözümü her zaman mevcut olmayabilir. Ayrıca, yeni bir devre elemanı olması sebebiyle, memristör tabanlı devrelerin çözümlerinin incelenmesi gerekmektedir. Memristörler farklı yaklaşımlar kullanılarak modellenebilir. Memristör modellerinden bir grubu, doğrusal olmayan sürüklenme modelleri olarak adlandırılır ve bunlardan biri yakın zamanda önerilen Mutlu-Kumru modelidir. Bir memristör sabit bir akım kaynağı ile beslenebilir. Ancak, sabit akım kaynağı altında Mutlu-Kumru memristör modelinin çözümü henüz literatürde sunulmamıştır. Bu çalışmada, Mutlu-Kumru memristör modelinin sabit akım uyartımı altındaki analitik çözümü sunulmaktadır. Ayrıca, elde edilen çözümün rezistif belleklerin anahtarlanması ve memristör tabanlı testere dişi osilatörlerin modellenmesinde kullanılabileceği gösterilmektedir.

Keywords

Memristör , Memristör modeli , Testere Dişi sinyal üreteci , Pencere fonksiyonu , Devre Analizi

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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