Implementation of Microcontroller-Based Memristive Chaotic Circuit

Abstract

In 1971, Leon Chua theoretically postulated that the memristor is the fourth fundamental circuit element, besides the three well-known circuit elements; namely, resistor, capacitor and inductor. For a long time, because of lack of a simple and practical realization, memristor remained just a theoretical element and rarely appeared in the literature. In 2008, a research team from HP laboratories declared that they had found a physical implementation based on thin films, behaving as a memristor. Memristor can offer new opportunities in circuit design due to its nonlinear behavior and memory. Nevertheless, since a cheap and reliable practical implementation of memristor is yet unavailable on the market, the design of such a realization, which mimics memristor behavior, is vital from the point of view of real-world circuit design. In this paper, a new microcontroller-based memristive chaotic circuit is proposed. Presented design has been implemented using an Ardunio Mega board, which solves numerically the dynamics of the memristor-based chaotic system using Runge-Kutta method. It sends the chaotic signals to the outputs of the circuit, using digital-to-analog converters. Chaotic dynamics and the strange attractors are obtained from the circuit using both, the computer simulations and the lab experiments. Considering both simulation and experimental results, it is shown that the proposed circuit mimics well the dynamics of the memristive chaotic system.