Design of a memristor-based Liénard Oscillator

The existence of the memristor, a nonlinear circuit element, was claimed by Chua in 1971. There had not been much work done on the memristor until 2008. A TiO2 memristor was discovered by a research team at HP in 2008. 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 and Tungsten-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 thesis 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, it was simulated in the LTspice program, 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.