A memristor-based Liénard Oscillator design

Öz

The new circuit element memristor can be used in the construction of sensors and in circuit applications such as cellular neural networks, chaotic systems, programmable analog circuits, and non-volatile memory devices. Liénard equations was proposed by Alfred-Marie Liénard in 1928 for modeling oscillating circuits. Semiconductor technology was not available when the first Liénard Oscillator was made, but, today, various semiconductor circuit elements are used in the construction of new types of Liénard oscillators. Nowadays, there are Carbon-based memristors sold on the market produced by Knowm company. According to the literature review done, there is not any Carbon Knowm memristor-based Liénard oscillators made yet. The purpose of this work is to present a new type of Liénard Oscillator to the literature by using two Carbon-based Knowm memristors. In this study, first, a memristor-based Liénard Oscillator circuit topology was proposed, the equations describing the circuit is given, then the circuit was built using a Carbon-based memristor integrated circuit, and the experiments were performed on the assembled oscillator to show that a Liénard oscillator can be made using two anti-parallel Carbon-based Knowm memristors for the first time in the literature.

Anahtar Kelimeler

• Memristor
• Liénard Oscillator
• Ciruit Theory
• Oscillators

Memristör tabanlı bir Liénard Osilatörü tasarımı

Öz

Yeni devre elemanı memristör sensör yapımında, hücresel sinir ağları, kaotik sistemler, programlanabilir analog devreler, kalıcı bellek cihazları gibi devre uygulamalarında kullanılabilmektedir. 1928’de salınımlı devrelerin modellenmesi için Alfred-Marie Liénard tarafından Liénard denklemleri önerilmiştir. İlk Liénard Osilatörü yapıldığında yarı iletken teknolojisi mevcut değildi ancak günümüzde çeşitli yarı iletken devre elemanları yeni tür Liénard Osilatörlerinin yapımında kullanılmaktadır. Günümüzde Knowm firmasının ürettiği ve piyasada satılan Karbon tabanlı memristörler mevcuttur. Yapılan literatür çalışmasına göre, henüz yapılmış Karbon Knowm memristör tabanlı bir Liénard Osilatörü bulunmamaktadır. Bu çalışmanın amacı iki adet Karbon tabanlı Knowm memristör kullanarak literatüre yeni bir Liénard Osilatör çeşidi kazandırmaktır. Bu çalışmada önce memristör tabanlı bir Liénard Osilatörü devre topolojisi önerilmiş, devreyi tanımlayan denklemler verilmiş, ardından Karbon tabanlı bir memristör entegresi kullanılarak devre kurulmuş ve kurulan osilatör üzerinde gerçekleştirilen deneyler sayesinde literatürde bir ilk olarak iki tane ters-paralel bağlı Karbon Knowm memristör kullanarak bir Liénard Osilatörü yapılabileceği gösterilmiştir.

Anahtar Kelimeler

• Memristör
• Liénard Osilatörü
• Devre Teorisi
• Osilatörler

Kaynakça

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